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Finding the Fourth Proportional to 22,572, 31,148.40 and 12,500.40

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Solution

The fourth proportional to 22,572, 31,148.40 and 12,500.40 is: 17,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572 : 31,148.40 = 12,500.40 : x
  2. Step 2: Convert to fraction form
    22,572/31,148.40 = 12,500.40/x
  3. Step 3: Cross multiply
    22,572x = 31,148.40 × 12,500.40
  4. Step 4: Simplify right side
    22,572x = 389,367,459.36
  5. Step 5: Solve for x
    x = 389,367,459.36/22,572
  6. Step 6: Final answer
    x = 17,250.02

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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.