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Finding the Fourth Proportional to 13,870, 19,140.68 and 8,902

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Solution

The fourth proportional to 13,870, 19,140.68 and 8,902 is: 12,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870 : 19,140.68 = 8,902 : x
  2. Step 2: Convert to fraction form
    13,870/19,140.68 = 8,902/x
  3. Step 3: Cross multiply
    13,870x = 19,140.68 × 8,902
  4. Step 4: Simplify right side
    13,870x = 170,390,333.36
  5. Step 5: Solve for x
    x = 170,390,333.36/13,870
  6. Step 6: Final answer
    x = 12,284.81

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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.