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Finding the Fourth Proportional to 31,407.72, 47,096.19 and 11,416.56

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Solution

The fourth proportional to 31,407.72, 47,096.19 and 11,416.56 is: 17,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.72 : 47,096.19 = 11,416.56 : x
  2. Step 2: Convert to fraction form
    31,407.72/47,096.19 = 11,416.56/x
  3. Step 3: Cross multiply
    31,407.72x = 47,096.19 × 11,416.56
  4. Step 4: Simplify right side
    31,407.72x = 537,676,478.91
  5. Step 5: Solve for x
    x = 537,676,478.91/31,407.72
  6. Step 6: Final answer
    x = 17,119.25

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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.