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Finding the Fourth Proportional to 8,587.85, 12,878.06 and 2,966.12

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Solution

The fourth proportional to 8,587.85, 12,878.06 and 2,966.12 is: 4,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.85 : 12,878.06 = 2,966.12 : x
  2. Step 2: Convert to fraction form
    8,587.85/12,878.06 = 2,966.12/x
  3. Step 3: Cross multiply
    8,587.85x = 12,878.06 × 2,966.12
  4. Step 4: Simplify right side
    8,587.85x = 38,197,792.11
  5. Step 5: Solve for x
    x = 38,197,792.11/8,587.85
  6. Step 6: Final answer
    x = 4,447.89

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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.