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Finding the Fourth Proportional to 31,395.84, 47,093.76 and 10,613.76

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Solution

The fourth proportional to 31,395.84, 47,093.76 and 10,613.76 is: 15,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,395.84 : 47,093.76 = 10,613.76 : x
  2. Step 2: Convert to fraction form
    31,395.84/47,093.76 = 10,613.76/x
  3. Step 3: Cross multiply
    31,395.84x = 47,093.76 × 10,613.76
  4. Step 4: Simplify right side
    31,395.84x = 499,841,866.14
  5. Step 5: Solve for x
    x = 499,841,866.14/31,395.84
  6. Step 6: Final answer
    x = 15,920.64

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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.