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Finding the Fourth Proportional to 31,396.55, 47,101.75 and 10,335.74

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Solution

The fourth proportional to 31,396.55, 47,101.75 and 10,335.74 is: 15,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396.55 : 47,101.75 = 10,335.74 : x
  2. Step 2: Convert to fraction form
    31,396.55/47,101.75 = 10,335.74/x
  3. Step 3: Cross multiply
    31,396.55x = 47,101.75 × 10,335.74
  4. Step 4: Simplify right side
    31,396.55x = 486,831,206.04
  5. Step 5: Solve for x
    x = 486,831,206.04/31,396.55
  6. Step 6: Final answer
    x = 15,505.88

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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.