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Finding the Fourth Proportional to 8,293.95, 12,422.70 and 7,200.45

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Solution

The fourth proportional to 8,293.95, 12,422.70 and 7,200.45 is: 10,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.95 : 12,422.70 = 7,200.45 : x
  2. Step 2: Convert to fraction form
    8,293.95/12,422.70 = 7,200.45/x
  3. Step 3: Cross multiply
    8,293.95x = 12,422.70 × 7,200.45
  4. Step 4: Simplify right side
    8,293.95x = 89,449,030.22
  5. Step 5: Solve for x
    x = 89,449,030.22/8,293.95
  6. Step 6: Final answer
    x = 10,784.85

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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.