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Finding the Fourth Proportional to 17,909.28, 26,856 and 8,048.16

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Solution

The fourth proportional to 17,909.28, 26,856 and 8,048.16 is: 12,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.28 : 26,856 = 8,048.16 : x
  2. Step 2: Convert to fraction form
    17,909.28/26,856 = 8,048.16/x
  3. Step 3: Cross multiply
    17,909.28x = 26,856 × 8,048.16
  4. Step 4: Simplify right side
    17,909.28x = 216,141,384.96
  5. Step 5: Solve for x
    x = 216,141,384.96/17,909.28
  6. Step 6: Final answer
    x = 12,068.68

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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.