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Finding the Fourth Proportional to 13,718.92, 18,931.73 and 8,053.58

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Solution

The fourth proportional to 13,718.92, 18,931.73 and 8,053.58 is: 11,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.92 : 18,931.73 = 8,053.58 : x
  2. Step 2: Convert to fraction form
    13,718.92/18,931.73 = 8,053.58/x
  3. Step 3: Cross multiply
    13,718.92x = 18,931.73 × 8,053.58
  4. Step 4: Simplify right side
    13,718.92x = 152,468,212.42
  5. Step 5: Solve for x
    x = 152,468,212.42/13,718.92
  6. Step 6: Final answer
    x = 11,113.71

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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.