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Finding the Fourth Proportional to 4,299.52, 6,407.84 and 4,213.12

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Solution

The fourth proportional to 4,299.52, 6,407.84 and 4,213.12 is: 6,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.52 : 6,407.84 = 4,213.12 : x
  2. Step 2: Convert to fraction form
    4,299.52/6,407.84 = 4,213.12/x
  3. Step 3: Cross multiply
    4,299.52x = 6,407.84 × 4,213.12
  4. Step 4: Simplify right side
    4,299.52x = 26,996,998.86
  5. Step 5: Solve for x
    x = 26,996,998.86/4,299.52
  6. Step 6: Final answer
    x = 6,279.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.