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Finding the Fourth Proportional to 6,484.32, 9,729 and 2,591.46

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Solution

The fourth proportional to 6,484.32, 9,729 and 2,591.46 is: 3,888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.32 : 9,729 = 2,591.46 : x
  2. Step 2: Convert to fraction form
    6,484.32/9,729 = 2,591.46/x
  3. Step 3: Cross multiply
    6,484.32x = 9,729 × 2,591.46
  4. Step 4: Simplify right side
    6,484.32x = 25,212,314.34
  5. Step 5: Solve for x
    x = 25,212,314.34/6,484.32
  6. Step 6: Final answer
    x = 3,888.20

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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.