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Finding the Fourth Proportional to 1,542.71, 2,128.95 and 913.21

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Solution

The fourth proportional to 1,542.71, 2,128.95 and 913.21 is: 1,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.71 : 2,128.95 = 913.21 : x
  2. Step 2: Convert to fraction form
    1,542.71/2,128.95 = 913.21/x
  3. Step 3: Cross multiply
    1,542.71x = 2,128.95 × 913.21
  4. Step 4: Simplify right side
    1,542.71x = 1,944,173.11
  5. Step 5: Solve for x
    x = 1,944,173.11/1,542.71
  6. Step 6: Final answer
    x = 1,260.23

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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.