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Finding the Fourth Proportional to 6,656.88, 9,985.70 and 1,726.39

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Solution

The fourth proportional to 6,656.88, 9,985.70 and 1,726.39 is: 2,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.88 : 9,985.70 = 1,726.39 : x
  2. Step 2: Convert to fraction form
    6,656.88/9,985.70 = 1,726.39/x
  3. Step 3: Cross multiply
    6,656.88x = 9,985.70 × 1,726.39
  4. Step 4: Simplify right side
    6,656.88x = 17,239,229.42
  5. Step 5: Solve for x
    x = 17,239,229.42/6,656.88
  6. Step 6: Final answer
    x = 2,589.68

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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.