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Finding the Fourth Proportional to 31,666.67, 47,500.59 and 10,602.78

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Solution

The fourth proportional to 31,666.67, 47,500.59 and 10,602.78 is: 15,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.67 : 47,500.59 = 10,602.78 : x
  2. Step 2: Convert to fraction form
    31,666.67/47,500.59 = 10,602.78/x
  3. Step 3: Cross multiply
    31,666.67x = 47,500.59 × 10,602.78
  4. Step 4: Simplify right side
    31,666.67x = 503,638,305.64
  5. Step 5: Solve for x
    x = 503,638,305.64/31,666.67
  6. Step 6: Final answer
    x = 15,904.37

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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.