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Finding the Fourth Proportional to 15,805.72, 23,710.74 and 5,416.12

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Solution

The fourth proportional to 15,805.72, 23,710.74 and 5,416.12 is: 8,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.72 : 23,710.74 = 5,416.12 : x
  2. Step 2: Convert to fraction form
    15,805.72/23,710.74 = 5,416.12/x
  3. Step 3: Cross multiply
    15,805.72x = 23,710.74 × 5,416.12
  4. Step 4: Simplify right side
    15,805.72x = 128,420,213.13
  5. Step 5: Solve for x
    x = 128,420,213.13/15,805.72
  6. Step 6: Final answer
    x = 8,124.92

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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.