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Finding the Fourth Proportional to 20,510.80, 30,778.04 and 8,663.60

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Solution

The fourth proportional to 20,510.80, 30,778.04 and 8,663.60 is: 13,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.80 : 30,778.04 = 8,663.60 : x
  2. Step 2: Convert to fraction form
    20,510.80/30,778.04 = 8,663.60/x
  3. Step 3: Cross multiply
    20,510.80x = 30,778.04 × 8,663.60
  4. Step 4: Simplify right side
    20,510.80x = 266,648,627.34
  5. Step 5: Solve for x
    x = 266,648,627.34/20,510.80
  6. Step 6: Final answer
    x = 13,000.40

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1.5x scale

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.