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Finding the Fourth Proportional to 8,957.64, 12,348 and 6,300.84

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Solution

The fourth proportional to 8,957.64, 12,348 and 6,300.84 is: 8,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.64 : 12,348 = 6,300.84 : x
  2. Step 2: Convert to fraction form
    8,957.64/12,348 = 6,300.84/x
  3. Step 3: Cross multiply
    8,957.64x = 12,348 × 6,300.84
  4. Step 4: Simplify right side
    8,957.64x = 77,802,772.32
  5. Step 5: Solve for x
    x = 77,802,772.32/8,957.64
  6. Step 6: Final answer
    x = 8,685.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.