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Finding the Fourth Proportional to 31,832.70, 47,748.99 and 8,459.13

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Solution

The fourth proportional to 31,832.70, 47,748.99 and 8,459.13 is: 12,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.70 : 47,748.99 = 8,459.13 : x
  2. Step 2: Convert to fraction form
    31,832.70/47,748.99 = 8,459.13/x
  3. Step 3: Cross multiply
    31,832.70x = 47,748.99 × 8,459.13
  4. Step 4: Simplify right side
    31,832.70x = 403,915,124.56
  5. Step 5: Solve for x
    x = 403,915,124.56/31,832.70
  6. Step 6: Final answer
    x = 12,688.69

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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.