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Finding the Fourth Proportional to 17,132.07, 25,681.08 and 7,779

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Solution

The fourth proportional to 17,132.07, 25,681.08 and 7,779 is: 11,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,132.07 : 25,681.08 = 7,779 : x
  2. Step 2: Convert to fraction form
    17,132.07/25,681.08 = 7,779/x
  3. Step 3: Cross multiply
    17,132.07x = 25,681.08 × 7,779
  4. Step 4: Simplify right side
    17,132.07x = 199,773,121.32
  5. Step 5: Solve for x
    x = 199,773,121.32/17,132.07
  6. Step 6: Final answer
    x = 11,660.77

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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.