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Finding the Fourth Proportional to 1,550.71, 2,140.08 and 852.10

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Solution

The fourth proportional to 1,550.71, 2,140.08 and 852.10 is: 1,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.71 : 2,140.08 = 852.10 : x
  2. Step 2: Convert to fraction form
    1,550.71/2,140.08 = 852.10/x
  3. Step 3: Cross multiply
    1,550.71x = 2,140.08 × 852.10
  4. Step 4: Simplify right side
    1,550.71x = 1,823,562.17
  5. Step 5: Solve for x
    x = 1,823,562.17/1,550.71
  6. Step 6: Final answer
    x = 1,175.95

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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.