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Finding the Fourth Proportional to 31,967.98, 47,949.99 and 9,779.62

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Solution

The fourth proportional to 31,967.98, 47,949.99 and 9,779.62 is: 14,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.98 : 47,949.99 = 9,779.62 : x
  2. Step 2: Convert to fraction form
    31,967.98/47,949.99 = 9,779.62/x
  3. Step 3: Cross multiply
    31,967.98x = 47,949.99 × 9,779.62
  4. Step 4: Simplify right side
    31,967.98x = 468,932,681.20
  5. Step 5: Solve for x
    x = 468,932,681.20/31,967.98
  6. Step 6: Final answer
    x = 14,668.82

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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.