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Finding the Fourth Proportional to 13,707.59, 18,916.47 and 7,419.96

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Solution

The fourth proportional to 13,707.59, 18,916.47 and 7,419.96 is: 10,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.59 : 18,916.47 = 7,419.96 : x
  2. Step 2: Convert to fraction form
    13,707.59/18,916.47 = 7,419.96/x
  3. Step 3: Cross multiply
    13,707.59x = 18,916.47 × 7,419.96
  4. Step 4: Simplify right side
    13,707.59x = 140,359,450.74
  5. Step 5: Solve for x
    x = 140,359,450.74/13,707.59
  6. Step 6: Final answer
    x = 10,239.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.