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Finding the Fourth Proportional to 31,378.60, 47,066.94 and 10,600.36

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Solution

The fourth proportional to 31,378.60, 47,066.94 and 10,600.36 is: 15,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.60 : 47,066.94 = 10,600.36 : x
  2. Step 2: Convert to fraction form
    31,378.60/47,066.94 = 10,600.36/x
  3. Step 3: Cross multiply
    31,378.60x = 47,066.94 × 10,600.36
  4. Step 4: Simplify right side
    31,378.60x = 498,926,508.10
  5. Step 5: Solve for x
    x = 498,926,508.10/31,378.60
  6. Step 6: Final answer
    x = 15,900.22

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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.