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Finding the Fourth Proportional to 20,520.51, 30,780.78 and 4,938.15

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Solution

The fourth proportional to 20,520.51, 30,780.78 and 4,938.15 is: 7,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520.51 : 30,780.78 = 4,938.15 : x
  2. Step 2: Convert to fraction form
    20,520.51/30,780.78 = 4,938.15/x
  3. Step 3: Cross multiply
    20,520.51x = 30,780.78 × 4,938.15
  4. Step 4: Simplify right side
    20,520.51x = 152,000,108.76
  5. Step 5: Solve for x
    x = 152,000,108.76/20,520.51
  6. Step 6: Final answer
    x = 7,407.23

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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.