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Finding the Fourth Proportional to 31,853, 47,779.60 and 9,666.56

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Solution

The fourth proportional to 31,853, 47,779.60 and 9,666.56 is: 14,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853 : 47,779.60 = 9,666.56 : x
  2. Step 2: Convert to fraction form
    31,853/47,779.60 = 9,666.56/x
  3. Step 3: Cross multiply
    31,853x = 47,779.60 × 9,666.56
  4. Step 4: Simplify right side
    31,853x = 461,864,370.18
  5. Step 5: Solve for x
    x = 461,864,370.18/31,853
  6. Step 6: Final answer
    x = 14,499.87

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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.