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Finding the Fourth Proportional to 6,656.94, 9,985.32 and 1,726.56

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Solution

The fourth proportional to 6,656.94, 9,985.32 and 1,726.56 is: 2,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.94 : 9,985.32 = 1,726.56 : x
  2. Step 2: Convert to fraction form
    6,656.94/9,985.32 = 1,726.56/x
  3. Step 3: Cross multiply
    6,656.94x = 9,985.32 × 1,726.56
  4. Step 4: Simplify right side
    6,656.94x = 17,240,254.10
  5. Step 5: Solve for x
    x = 17,240,254.10/6,656.94
  6. Step 6: Final answer
    x = 2,589.82

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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.