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Finding the Fourth Proportional to 9,189.44, 12,681 and 5,412.44

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Solution

The fourth proportional to 9,189.44, 12,681 and 5,412.44 is: 7,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.44 : 12,681 = 5,412.44 : x
  2. Step 2: Convert to fraction form
    9,189.44/12,681 = 5,412.44/x
  3. Step 3: Cross multiply
    9,189.44x = 12,681 × 5,412.44
  4. Step 4: Simplify right side
    9,189.44x = 68,635,151.64
  5. Step 5: Solve for x
    x = 68,635,151.64/9,189.44
  6. Step 6: Final answer
    x = 7,468.92

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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.