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Finding the Fourth Proportional to 15,805.56, 23,711.94 and 5,416.68

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Solution

The fourth proportional to 15,805.56, 23,711.94 and 5,416.68 is: 8,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.56 : 23,711.94 = 5,416.68 : x
  2. Step 2: Convert to fraction form
    15,805.56/23,711.94 = 5,416.68/x
  3. Step 3: Cross multiply
    15,805.56x = 23,711.94 × 5,416.68
  4. Step 4: Simplify right side
    15,805.56x = 128,439,991.16
  5. Step 5: Solve for x
    x = 128,439,991.16/15,805.56
  6. Step 6: Final answer
    x = 8,126.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.