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Finding the Fourth Proportional to 20,214.59, 30,320.87 and 7,740.59

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Solution

The fourth proportional to 20,214.59, 30,320.87 and 7,740.59 is: 11,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.59 : 30,320.87 = 7,740.59 : x
  2. Step 2: Convert to fraction form
    20,214.59/30,320.87 = 7,740.59/x
  3. Step 3: Cross multiply
    20,214.59x = 30,320.87 × 7,740.59
  4. Step 4: Simplify right side
    20,214.59x = 234,701,232.81
  5. Step 5: Solve for x
    x = 234,701,232.81/20,214.59
  6. Step 6: Final answer
    x = 11,610.49

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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.