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Finding the Fourth Proportional to 6,451.65, 9,681.49 and 3,488.86

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Solution

The fourth proportional to 6,451.65, 9,681.49 and 3,488.86 is: 5,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.65 : 9,681.49 = 3,488.86 : x
  2. Step 2: Convert to fraction form
    6,451.65/9,681.49 = 3,488.86/x
  3. Step 3: Cross multiply
    6,451.65x = 9,681.49 × 3,488.86
  4. Step 4: Simplify right side
    6,451.65x = 33,777,393.00
  5. Step 5: Solve for x
    x = 33,777,393.00/6,451.65
  6. Step 6: Final answer
    x = 5,235.47

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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.