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Finding the Fourth Proportional to 11,470.78, 15,824.22 and 7,271.74

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Solution

The fourth proportional to 11,470.78, 15,824.22 and 7,271.74 is: 10,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.78 : 15,824.22 = 7,271.74 : x
  2. Step 2: Convert to fraction form
    11,470.78/15,824.22 = 7,271.74/x
  3. Step 3: Cross multiply
    11,470.78x = 15,824.22 × 7,271.74
  4. Step 4: Simplify right side
    11,470.78x = 115,069,613.54
  5. Step 5: Solve for x
    x = 115,069,613.54/11,470.78
  6. Step 6: Final answer
    x = 10,031.54

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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.