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Finding the Fourth Proportional to 6,657.14, 9,986.08 and 1,726.64

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Solution

The fourth proportional to 6,657.14, 9,986.08 and 1,726.64 is: 2,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.14 : 9,986.08 = 1,726.64 : x
  2. Step 2: Convert to fraction form
    6,657.14/9,986.08 = 1,726.64/x
  3. Step 3: Cross multiply
    6,657.14x = 9,986.08 × 1,726.64
  4. Step 4: Simplify right side
    6,657.14x = 17,242,385.82
  5. Step 5: Solve for x
    x = 17,242,385.82/6,657.14
  6. Step 6: Final answer
    x = 2,590.06

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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.