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Finding the Fourth Proportional to 8,648.94, 12,962.16 and 6,284.94

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Solution

The fourth proportional to 8,648.94, 12,962.16 and 6,284.94 is: 9,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.94 : 12,962.16 = 6,284.94 : x
  2. Step 2: Convert to fraction form
    8,648.94/12,962.16 = 6,284.94/x
  3. Step 3: Cross multiply
    8,648.94x = 12,962.16 × 6,284.94
  4. Step 4: Simplify right side
    8,648.94x = 81,466,397.87
  5. Step 5: Solve for x
    x = 81,466,397.87/8,648.94
  6. Step 6: Final answer
    x = 9,419.23

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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.