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Finding the Fourth Proportional to 30,280.75, 45,422.75 and 9,505.87

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Solution

The fourth proportional to 30,280.75, 45,422.75 and 9,505.87 is: 14,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280.75 : 45,422.75 = 9,505.87 : x
  2. Step 2: Convert to fraction form
    30,280.75/45,422.75 = 9,505.87/x
  3. Step 3: Cross multiply
    30,280.75x = 45,422.75 × 9,505.87
  4. Step 4: Simplify right side
    30,280.75x = 431,782,756.54
  5. Step 5: Solve for x
    x = 431,782,756.54/30,280.75
  6. Step 6: Final answer
    x = 14,259.32

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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.