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Finding the Fourth Proportional to 1,550.76, 2,140.08 and 852.18

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Solution

The fourth proportional to 1,550.76, 2,140.08 and 852.18 is: 1,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.76 : 2,140.08 = 852.18 : x
  2. Step 2: Convert to fraction form
    1,550.76/2,140.08 = 852.18/x
  3. Step 3: Cross multiply
    1,550.76x = 2,140.08 × 852.18
  4. Step 4: Simplify right side
    1,550.76x = 1,823,733.37
  5. Step 5: Solve for x
    x = 1,823,733.37/1,550.76
  6. Step 6: Final answer
    x = 1,176.03

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,551.76, 2,141.46 and 853.18
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.