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Finding the Fourth Proportional to 7,674, 10,585.80 and 5,020.80

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Solution

The fourth proportional to 7,674, 10,585.80 and 5,020.80 is: 6,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674 : 10,585.80 = 5,020.80 : x
  2. Step 2: Convert to fraction form
    7,674/10,585.80 = 5,020.80/x
  3. Step 3: Cross multiply
    7,674x = 10,585.80 × 5,020.80
  4. Step 4: Simplify right side
    7,674x = 53,149,184.64
  5. Step 5: Solve for x
    x = 53,149,184.64/7,674
  6. Step 6: Final answer
    x = 6,925.88

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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.