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Finding the Fourth Proportional to 31,985.40, 47,978.10 and 27,708.60

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Solution

The fourth proportional to 31,985.40, 47,978.10 and 27,708.60 is: 41,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.40 : 47,978.10 = 27,708.60 : x
  2. Step 2: Convert to fraction form
    31,985.40/47,978.10 = 27,708.60/x
  3. Step 3: Cross multiply
    31,985.40x = 47,978.10 × 27,708.60
  4. Step 4: Simplify right side
    31,985.40x = 1,329,405,981.66
  5. Step 5: Solve for x
    x = 1,329,405,981.66/31,985.40
  6. Step 6: Final answer
    x = 41,562.90

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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.