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Finding the Fourth Proportional to 6,661.60, 9,991.52 and 1,731.58

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Solution

The fourth proportional to 6,661.60, 9,991.52 and 1,731.58 is: 2,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.60 : 9,991.52 = 1,731.58 : x
  2. Step 2: Convert to fraction form
    6,661.60/9,991.52 = 1,731.58/x
  3. Step 3: Cross multiply
    6,661.60x = 9,991.52 × 1,731.58
  4. Step 4: Simplify right side
    6,661.60x = 17,301,116.20
  5. Step 5: Solve for x
    x = 17,301,116.20/6,661.60
  6. Step 6: Final answer
    x = 2,597.14

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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.