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Finding the Fourth Proportional to 8,622.30, 12,916.42 and 6,764.16

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Solution

The fourth proportional to 8,622.30, 12,916.42 and 6,764.16 is: 10,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.30 : 12,916.42 = 6,764.16 : x
  2. Step 2: Convert to fraction form
    8,622.30/12,916.42 = 6,764.16/x
  3. Step 3: Cross multiply
    8,622.30x = 12,916.42 × 6,764.16
  4. Step 4: Simplify right side
    8,622.30x = 87,368,731.51
  5. Step 5: Solve for x
    x = 87,368,731.51/8,622.30
  6. Step 6: Final answer
    x = 10,132.88

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1.5x scale

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.