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Finding the Fourth Proportional to 4,624, 6,381.12 and 2,528.14

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Solution

The fourth proportional to 4,624, 6,381.12 and 2,528.14 is: 3,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624 : 6,381.12 = 2,528.14 : x
  2. Step 2: Convert to fraction form
    4,624/6,381.12 = 2,528.14/x
  3. Step 3: Cross multiply
    4,624x = 6,381.12 × 2,528.14
  4. Step 4: Simplify right side
    4,624x = 16,132,364.72
  5. Step 5: Solve for x
    x = 16,132,364.72/4,624
  6. Step 6: Final answer
    x = 3,488.83

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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.