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Finding the Fourth Proportional to 20,376.59, 30,566.70 and 5,585.58

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Solution

The fourth proportional to 20,376.59, 30,566.70 and 5,585.58 is: 8,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,376.59 : 30,566.70 = 5,585.58 : x
  2. Step 2: Convert to fraction form
    20,376.59/30,566.70 = 5,585.58/x
  3. Step 3: Cross multiply
    20,376.59x = 30,566.70 × 5,585.58
  4. Step 4: Simplify right side
    20,376.59x = 170,732,748.19
  5. Step 5: Solve for x
    x = 170,732,748.19/20,376.59
  6. Step 6: Final answer
    x = 8,378.87

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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.