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Finding the Fourth Proportional to 10,275.26, 15,420.38 and 7,941.11

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Solution

The fourth proportional to 10,275.26, 15,420.38 and 7,941.11 is: 11,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.26 : 15,420.38 = 7,941.11 : x
  2. Step 2: Convert to fraction form
    10,275.26/15,420.38 = 7,941.11/x
  3. Step 3: Cross multiply
    10,275.26x = 15,420.38 × 7,941.11
  4. Step 4: Simplify right side
    10,275.26x = 122,454,817.01
  5. Step 5: Solve for x
    x = 122,454,817.01/10,275.26
  6. Step 6: Final answer
    x = 11,917.45

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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.