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Finding the Fourth Proportional to 8,768, 12,099.92 and 5,973.44

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Solution

The fourth proportional to 8,768, 12,099.92 and 5,973.44 is: 8,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768 : 12,099.92 = 5,973.44 : x
  2. Step 2: Convert to fraction form
    8,768/12,099.92 = 5,973.44/x
  3. Step 3: Cross multiply
    8,768x = 12,099.92 × 5,973.44
  4. Step 4: Simplify right side
    8,768x = 72,278,146.12
  5. Step 5: Solve for x
    x = 72,278,146.12/8,768
  6. Step 6: Final answer
    x = 8,243.40

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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.