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Finding the Fourth Proportional to 8,241.32, 11,369.08 and 5,407.54

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Solution

The fourth proportional to 8,241.32, 11,369.08 and 5,407.54 is: 7,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.32 : 11,369.08 = 5,407.54 : x
  2. Step 2: Convert to fraction form
    8,241.32/11,369.08 = 5,407.54/x
  3. Step 3: Cross multiply
    8,241.32x = 11,369.08 × 5,407.54
  4. Step 4: Simplify right side
    8,241.32x = 61,478,754.86
  5. Step 5: Solve for x
    x = 61,478,754.86/8,241.32
  6. Step 6: Final answer
    x = 7,459.82

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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.