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Finding the Fourth Proportional to 9,414.90, 12,987 and 6,056.64

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Solution

The fourth proportional to 9,414.90, 12,987 and 6,056.64 is: 8,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.90 : 12,987 = 6,056.64 : x
  2. Step 2: Convert to fraction form
    9,414.90/12,987 = 6,056.64/x
  3. Step 3: Cross multiply
    9,414.90x = 12,987 × 6,056.64
  4. Step 4: Simplify right side
    9,414.90x = 78,657,583.68
  5. Step 5: Solve for x
    x = 78,657,583.68/9,414.90
  6. Step 6: Final answer
    x = 8,354.59

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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.