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Finding the Fourth Proportional to 17,288.60, 25,913.70 and 8,965.40

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Solution

The fourth proportional to 17,288.60, 25,913.70 and 8,965.40 is: 13,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.60 : 25,913.70 = 8,965.40 : x
  2. Step 2: Convert to fraction form
    17,288.60/25,913.70 = 8,965.40/x
  3. Step 3: Cross multiply
    17,288.60x = 25,913.70 × 8,965.40
  4. Step 4: Simplify right side
    17,288.60x = 232,326,685.98
  5. Step 5: Solve for x
    x = 232,326,685.98/17,288.60
  6. Step 6: Final answer
    x = 13,438.14

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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.