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Finding the Fourth Proportional to 2,922.72, 4,382.64 and 974.88

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Solution

The fourth proportional to 2,922.72, 4,382.64 and 974.88 is: 1,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.72 : 4,382.64 = 974.88 : x
  2. Step 2: Convert to fraction form
    2,922.72/4,382.64 = 974.88/x
  3. Step 3: Cross multiply
    2,922.72x = 4,382.64 × 974.88
  4. Step 4: Simplify right side
    2,922.72x = 4,272,548.08
  5. Step 5: Solve for x
    x = 4,272,548.08/2,922.72
  6. Step 6: Final answer
    x = 1,461.84

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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.