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Finding the Fourth Proportional to 13,870, 19,140.24 and 8,205.04

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Solution

The fourth proportional to 13,870, 19,140.24 and 8,205.04 is: 11,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870 : 19,140.24 = 8,205.04 : x
  2. Step 2: Convert to fraction form
    13,870/19,140.24 = 8,205.04/x
  3. Step 3: Cross multiply
    13,870x = 19,140.24 × 8,205.04
  4. Step 4: Simplify right side
    13,870x = 157,046,434.81
  5. Step 5: Solve for x
    x = 157,046,434.81/13,870
  6. Step 6: Final answer
    x = 11,322.74

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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.