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Finding the Fourth Proportional to 12,897.43, 19,344.42 and 5,869.87

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Solution

The fourth proportional to 12,897.43, 19,344.42 and 5,869.87 is: 8,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.43 : 19,344.42 = 5,869.87 : x
  2. Step 2: Convert to fraction form
    12,897.43/19,344.42 = 5,869.87/x
  3. Step 3: Cross multiply
    12,897.43x = 19,344.42 × 5,869.87
  4. Step 4: Simplify right side
    12,897.43x = 113,549,182.26
  5. Step 5: Solve for x
    x = 113,549,182.26/12,897.43
  6. Step 6: Final answer
    x = 8,804.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.