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Finding the Fourth Proportional to 20,176.88, 30,263 and 5,386.80

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Solution

The fourth proportional to 20,176.88, 30,263 and 5,386.80 is: 8,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.88 : 30,263 = 5,386.80 : x
  2. Step 2: Convert to fraction form
    20,176.88/30,263 = 5,386.80/x
  3. Step 3: Cross multiply
    20,176.88x = 30,263 × 5,386.80
  4. Step 4: Simplify right side
    20,176.88x = 163,020,728.40
  5. Step 5: Solve for x
    x = 163,020,728.40/20,176.88
  6. Step 6: Final answer
    x = 8,079.58

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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.