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Finding the Fourth Proportional to 8,617.84, 11,878.80 and 6,490.24

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Solution

The fourth proportional to 8,617.84, 11,878.80 and 6,490.24 is: 8,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.84 : 11,878.80 = 6,490.24 : x
  2. Step 2: Convert to fraction form
    8,617.84/11,878.80 = 6,490.24/x
  3. Step 3: Cross multiply
    8,617.84x = 11,878.80 × 6,490.24
  4. Step 4: Simplify right side
    8,617.84x = 77,096,262.91
  5. Step 5: Solve for x
    x = 77,096,262.91/8,617.84
  6. Step 6: Final answer
    x = 8,946.12

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1.5x scale

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.