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Finding the Fourth Proportional to 1,543.84, 2,130.50 and 845.21

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Solution

The fourth proportional to 1,543.84, 2,130.50 and 845.21 is: 1,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.84 : 2,130.50 = 845.21 : x
  2. Step 2: Convert to fraction form
    1,543.84/2,130.50 = 845.21/x
  3. Step 3: Cross multiply
    1,543.84x = 2,130.50 × 845.21
  4. Step 4: Simplify right side
    1,543.84x = 1,800,719.91
  5. Step 5: Solve for x
    x = 1,800,719.91/1,543.84
  6. Step 6: Final answer
    x = 1,166.39

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Double scale
Find fourth proportional to 1,544.84, 2,131.88 and 846.21
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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.