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Finding the Fourth Proportional to 38,477, 53,101.50 and 21,713.24

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Solution

The fourth proportional to 38,477, 53,101.50 and 21,713.24 is: 29,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477 : 53,101.50 = 21,713.24 : x
  2. Step 2: Convert to fraction form
    38,477/53,101.50 = 21,713.24/x
  3. Step 3: Cross multiply
    38,477x = 53,101.50 × 21,713.24
  4. Step 4: Simplify right side
    38,477x = 1,153,005,613.86
  5. Step 5: Solve for x
    x = 1,153,005,613.86/38,477
  6. Step 6: Final answer
    x = 29,966.10

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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.