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Finding the Fourth Proportional to 23,423.76, 32,338.15 and 15,489

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Solution

The fourth proportional to 23,423.76, 32,338.15 and 15,489 is: 21,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423.76 : 32,338.15 = 15,489 : x
  2. Step 2: Convert to fraction form
    23,423.76/32,338.15 = 15,489/x
  3. Step 3: Cross multiply
    23,423.76x = 32,338.15 × 15,489
  4. Step 4: Simplify right side
    23,423.76x = 500,885,605.35
  5. Step 5: Solve for x
    x = 500,885,605.35/23,423.76
  6. Step 6: Final answer
    x = 21,383.66

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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.