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Finding the Fourth Proportional to 2,916.28, 4,372.86 and 967.78

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Solution

The fourth proportional to 2,916.28, 4,372.86 and 967.78 is: 1,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.28 : 4,372.86 = 967.78 : x
  2. Step 2: Convert to fraction form
    2,916.28/4,372.86 = 967.78/x
  3. Step 3: Cross multiply
    2,916.28x = 4,372.86 × 967.78
  4. Step 4: Simplify right side
    2,916.28x = 4,231,966.45
  5. Step 5: Solve for x
    x = 4,231,966.45/2,916.28
  6. Step 6: Final answer
    x = 1,451.15

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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.