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Finding the Fourth Proportional to 8,667.84, 11,962.56 and 6,312.24

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Solution

The fourth proportional to 8,667.84, 11,962.56 and 6,312.24 is: 8,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.84 : 11,962.56 = 6,312.24 : x
  2. Step 2: Convert to fraction form
    8,667.84/11,962.56 = 6,312.24/x
  3. Step 3: Cross multiply
    8,667.84x = 11,962.56 × 6,312.24
  4. Step 4: Simplify right side
    8,667.84x = 75,510,549.73
  5. Step 5: Solve for x
    x = 75,510,549.73/8,667.84
  6. Step 6: Final answer
    x = 8,711.58

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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.