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Finding the Fourth Proportional to 3,985.98, 5,502.16 and 2,659.20

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Solution

The fourth proportional to 3,985.98, 5,502.16 and 2,659.20 is: 3,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.98 : 5,502.16 = 2,659.20 : x
  2. Step 2: Convert to fraction form
    3,985.98/5,502.16 = 2,659.20/x
  3. Step 3: Cross multiply
    3,985.98x = 5,502.16 × 2,659.20
  4. Step 4: Simplify right side
    3,985.98x = 14,631,343.87
  5. Step 5: Solve for x
    x = 14,631,343.87/3,985.98
  6. Step 6: Final answer
    x = 3,670.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.