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Finding the Fourth Proportional to 7,538.88, 11,291.04 and 7,412.16

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Solution

The fourth proportional to 7,538.88, 11,291.04 and 7,412.16 is: 11,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.88 : 11,291.04 = 7,412.16 : x
  2. Step 2: Convert to fraction form
    7,538.88/11,291.04 = 7,412.16/x
  3. Step 3: Cross multiply
    7,538.88x = 11,291.04 × 7,412.16
  4. Step 4: Simplify right side
    7,538.88x = 83,690,995.05
  5. Step 5: Solve for x
    x = 83,690,995.05/7,538.88
  6. Step 6: Final answer
    x = 11,101.25

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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.