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Finding the Fourth Proportional to 10,449.64, 15,662.76 and 7,976.26

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Solution

The fourth proportional to 10,449.64, 15,662.76 and 7,976.26 is: 11,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.64 : 15,662.76 = 7,976.26 : x
  2. Step 2: Convert to fraction form
    10,449.64/15,662.76 = 7,976.26/x
  3. Step 3: Cross multiply
    10,449.64x = 15,662.76 × 7,976.26
  4. Step 4: Simplify right side
    10,449.64x = 124,930,246.08
  5. Step 5: Solve for x
    x = 124,930,246.08/10,449.64
  6. Step 6: Final answer
    x = 11,955.46

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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.