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Finding the Fourth Proportional to 22,585, 31,153.90 and 13,627.20

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Solution

The fourth proportional to 22,585, 31,153.90 and 13,627.20 is: 18,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585 : 31,153.90 = 13,627.20 : x
  2. Step 2: Convert to fraction form
    22,585/31,153.90 = 13,627.20/x
  3. Step 3: Cross multiply
    22,585x = 31,153.90 × 13,627.20
  4. Step 4: Simplify right side
    22,585x = 424,540,426.08
  5. Step 5: Solve for x
    x = 424,540,426.08/22,585
  6. Step 6: Final answer
    x = 18,797.45

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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.