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Finding the Fourth Proportional to 4,320.42, 6,479 and 1,397.94

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Solution

The fourth proportional to 4,320.42, 6,479 and 1,397.94 is: 2,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.42 : 6,479 = 1,397.94 : x
  2. Step 2: Convert to fraction form
    4,320.42/6,479 = 1,397.94/x
  3. Step 3: Cross multiply
    4,320.42x = 6,479 × 1,397.94
  4. Step 4: Simplify right side
    4,320.42x = 9,057,253.26
  5. Step 5: Solve for x
    x = 9,057,253.26/4,320.42
  6. Step 6: Final answer
    x = 2,096.38

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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.