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Finding the Fourth Proportional to 13,707.56, 18,916.42 and 7,419.92

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Solution

The fourth proportional to 13,707.56, 18,916.42 and 7,419.92 is: 10,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.56 : 18,916.42 = 7,419.92 : x
  2. Step 2: Convert to fraction form
    13,707.56/18,916.42 = 7,419.92/x
  3. Step 3: Cross multiply
    13,707.56x = 18,916.42 × 7,419.92
  4. Step 4: Simplify right side
    13,707.56x = 140,358,323.09
  5. Step 5: Solve for x
    x = 140,358,323.09/13,707.56
  6. Step 6: Final answer
    x = 10,239.48

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1.5x scale

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.