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Finding the Fourth Proportional to 22,906.30, 31,608.50 and 15,742.50

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Solution

The fourth proportional to 22,906.30, 31,608.50 and 15,742.50 is: 21,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.30 : 31,608.50 = 15,742.50 : x
  2. Step 2: Convert to fraction form
    22,906.30/31,608.50 = 15,742.50/x
  3. Step 3: Cross multiply
    22,906.30x = 31,608.50 × 15,742.50
  4. Step 4: Simplify right side
    22,906.30x = 497,596,811.25
  5. Step 5: Solve for x
    x = 497,596,811.25/22,906.30
  6. Step 6: Final answer
    x = 21,723.14

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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.