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Finding the Fourth Proportional to 7,125.72, 9,830.88 and 4,472.16

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Solution

The fourth proportional to 7,125.72, 9,830.88 and 4,472.16 is: 6,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.72 : 9,830.88 = 4,472.16 : x
  2. Step 2: Convert to fraction form
    7,125.72/9,830.88 = 4,472.16/x
  3. Step 3: Cross multiply
    7,125.72x = 9,830.88 × 4,472.16
  4. Step 4: Simplify right side
    7,125.72x = 43,965,268.30
  5. Step 5: Solve for x
    x = 43,965,268.30/7,125.72
  6. Step 6: Final answer
    x = 6,169.94

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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.