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Finding the Fourth Proportional to 9,976.32, 15,022.88 and 7,397.44

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Solution

The fourth proportional to 9,976.32, 15,022.88 and 7,397.44 is: 11,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.32 : 15,022.88 = 7,397.44 : x
  2. Step 2: Convert to fraction form
    9,976.32/15,022.88 = 7,397.44/x
  3. Step 3: Cross multiply
    9,976.32x = 15,022.88 × 7,397.44
  4. Step 4: Simplify right side
    9,976.32x = 111,130,853.43
  5. Step 5: Solve for x
    x = 111,130,853.43/9,976.32
  6. Step 6: Final answer
    x = 11,139.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.