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Finding the Fourth Proportional to 8,781.84, 13,151.43 and 4,827.06

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Solution

The fourth proportional to 8,781.84, 13,151.43 and 4,827.06 is: 7,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.84 : 13,151.43 = 4,827.06 : x
  2. Step 2: Convert to fraction form
    8,781.84/13,151.43 = 4,827.06/x
  3. Step 3: Cross multiply
    8,781.84x = 13,151.43 × 4,827.06
  4. Step 4: Simplify right side
    8,781.84x = 63,482,741.70
  5. Step 5: Solve for x
    x = 63,482,741.70/8,781.84
  6. Step 6: Final answer
    x = 7,228.87

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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.