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Finding the Fourth Proportional to 6,780, 10,159.51 and 4,704.04

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Solution

The fourth proportional to 6,780, 10,159.51 and 4,704.04 is: 7,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 10,159.51 = 4,704.04 : x
  2. Step 2: Convert to fraction form
    6,780/10,159.51 = 4,704.04/x
  3. Step 3: Cross multiply
    6,780x = 10,159.51 × 4,704.04
  4. Step 4: Simplify right side
    6,780x = 47,790,741.42
  5. Step 5: Solve for x
    x = 47,790,741.42/6,780
  6. Step 6: Final answer
    x = 7,048.78

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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.