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Finding the Fourth Proportional to 11,422.50, 15,765.21 and 6,454.50

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Solution

The fourth proportional to 11,422.50, 15,765.21 and 6,454.50 is: 8,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.50 : 15,765.21 = 6,454.50 : x
  2. Step 2: Convert to fraction form
    11,422.50/15,765.21 = 6,454.50/x
  3. Step 3: Cross multiply
    11,422.50x = 15,765.21 × 6,454.50
  4. Step 4: Simplify right side
    11,422.50x = 101,756,547.95
  5. Step 5: Solve for x
    x = 101,756,547.95/11,422.50
  6. Step 6: Final answer
    x = 8,908.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.