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Finding the Fourth Proportional to 8,499, 12,738.42 and 6,412.08

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Solution

The fourth proportional to 8,499, 12,738.42 and 6,412.08 is: 9,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499 : 12,738.42 = 6,412.08 : x
  2. Step 2: Convert to fraction form
    8,499/12,738.42 = 6,412.08/x
  3. Step 3: Cross multiply
    8,499x = 12,738.42 × 6,412.08
  4. Step 4: Simplify right side
    8,499x = 81,679,768.11
  5. Step 5: Solve for x
    x = 81,679,768.11/8,499
  6. Step 6: Final answer
    x = 9,610.52

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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.