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Finding the Fourth Proportional to 7,944, 10,962.72 and 4,407.78

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Solution

The fourth proportional to 7,944, 10,962.72 and 4,407.78 is: 6,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944 : 10,962.72 = 4,407.78 : x
  2. Step 2: Convert to fraction form
    7,944/10,962.72 = 4,407.78/x
  3. Step 3: Cross multiply
    7,944x = 10,962.72 × 4,407.78
  4. Step 4: Simplify right side
    7,944x = 48,321,257.96
  5. Step 5: Solve for x
    x = 48,321,257.96/7,944
  6. Step 6: Final answer
    x = 6,082.74

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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.