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Finding the Fourth Proportional to 31,728.53, 47,588.18 and 8,354.94

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Solution

The fourth proportional to 31,728.53, 47,588.18 and 8,354.94 is: 12,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.53 : 47,588.18 = 8,354.94 : x
  2. Step 2: Convert to fraction form
    31,728.53/47,588.18 = 8,354.94/x
  3. Step 3: Cross multiply
    31,728.53x = 47,588.18 × 8,354.94
  4. Step 4: Simplify right side
    31,728.53x = 397,596,346.83
  5. Step 5: Solve for x
    x = 397,596,346.83/31,728.53
  6. Step 6: Final answer
    x = 12,531.20

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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.