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Finding the Fourth Proportional to 20,281.80, 30,422.70 and 6,430.80

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Solution

The fourth proportional to 20,281.80, 30,422.70 and 6,430.80 is: 9,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.80 : 30,422.70 = 6,430.80 : x
  2. Step 2: Convert to fraction form
    20,281.80/30,422.70 = 6,430.80/x
  3. Step 3: Cross multiply
    20,281.80x = 30,422.70 × 6,430.80
  4. Step 4: Simplify right side
    20,281.80x = 195,642,299.16
  5. Step 5: Solve for x
    x = 195,642,299.16/20,281.80
  6. Step 6: Final answer
    x = 9,646.20

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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.