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Finding the Fourth Proportional to 8,645.30, 12,966.53 and 3,097.82

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Solution

The fourth proportional to 8,645.30, 12,966.53 and 3,097.82 is: 4,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.30 : 12,966.53 = 3,097.82 : x
  2. Step 2: Convert to fraction form
    8,645.30/12,966.53 = 3,097.82/x
  3. Step 3: Cross multiply
    8,645.30x = 12,966.53 × 3,097.82
  4. Step 4: Simplify right side
    8,645.30x = 40,167,895.64
  5. Step 5: Solve for x
    x = 40,167,895.64/8,645.30
  6. Step 6: Final answer
    x = 4,646.21

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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.