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Finding the Fourth Proportional to 22,770.64, 31,426.14 and 13,339

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Solution

The fourth proportional to 22,770.64, 31,426.14 and 13,339 is: 18,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.64 : 31,426.14 = 13,339 : x
  2. Step 2: Convert to fraction form
    22,770.64/31,426.14 = 13,339/x
  3. Step 3: Cross multiply
    22,770.64x = 31,426.14 × 13,339
  4. Step 4: Simplify right side
    22,770.64x = 419,193,281.46
  5. Step 5: Solve for x
    x = 419,193,281.46/22,770.64
  6. Step 6: Final answer
    x = 18,409.38

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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.