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Finding the Fourth Proportional to 8,653, 12,988.14 and 6,320.20

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Solution

The fourth proportional to 8,653, 12,988.14 and 6,320.20 is: 9,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653 : 12,988.14 = 6,320.20 : x
  2. Step 2: Convert to fraction form
    8,653/12,988.14 = 6,320.20/x
  3. Step 3: Cross multiply
    8,653x = 12,988.14 × 6,320.20
  4. Step 4: Simplify right side
    8,653x = 82,087,642.43
  5. Step 5: Solve for x
    x = 82,087,642.43/8,653
  6. Step 6: Final answer
    x = 9,486.61

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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.