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Finding the Fourth Proportional to 31,666.66, 47,493.70 and 9,179.98

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Solution

The fourth proportional to 31,666.66, 47,493.70 and 9,179.98 is: 13,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.66 : 47,493.70 = 9,179.98 : x
  2. Step 2: Convert to fraction form
    31,666.66/47,493.70 = 9,179.98/x
  3. Step 3: Cross multiply
    31,666.66x = 47,493.70 × 9,179.98
  4. Step 4: Simplify right side
    31,666.66x = 435,991,216.13
  5. Step 5: Solve for x
    x = 435,991,216.13/31,666.66
  6. Step 6: Final answer
    x = 13,768.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.