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Finding the Fourth Proportional to 17,720.72, 26,584 and 6,631.28

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Solution

The fourth proportional to 17,720.72, 26,584 and 6,631.28 is: 9,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.72 : 26,584 = 6,631.28 : x
  2. Step 2: Convert to fraction form
    17,720.72/26,584 = 6,631.28/x
  3. Step 3: Cross multiply
    17,720.72x = 26,584 × 6,631.28
  4. Step 4: Simplify right side
    17,720.72x = 176,285,947.52
  5. Step 5: Solve for x
    x = 176,285,947.52/17,720.72
  6. Step 6: Final answer
    x = 9,948.01

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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.