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Finding the Fourth Proportional to 31,853.72, 47,781.98 and 9,670.20

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Solution

The fourth proportional to 31,853.72, 47,781.98 and 9,670.20 is: 14,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.72 : 47,781.98 = 9,670.20 : x
  2. Step 2: Convert to fraction form
    31,853.72/47,781.98 = 9,670.20/x
  3. Step 3: Cross multiply
    31,853.72x = 47,781.98 × 9,670.20
  4. Step 4: Simplify right side
    31,853.72x = 462,061,303.00
  5. Step 5: Solve for x
    x = 462,061,303.00/31,853.72
  6. Step 6: Final answer
    x = 14,505.73

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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.