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Finding the Fourth Proportional to 7,680.32, 11,454.34 and 7,542.08

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Solution

The fourth proportional to 7,680.32, 11,454.34 and 7,542.08 is: 11,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.32 : 11,454.34 = 7,542.08 : x
  2. Step 2: Convert to fraction form
    7,680.32/11,454.34 = 7,542.08/x
  3. Step 3: Cross multiply
    7,680.32x = 11,454.34 × 7,542.08
  4. Step 4: Simplify right side
    7,680.32x = 86,389,548.63
  5. Step 5: Solve for x
    x = 86,389,548.63/7,680.32
  6. Step 6: Final answer
    x = 11,248.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.