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Finding the Fourth Proportional to 9,130.68, 13,697.82 and 3,865.68

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Solution

The fourth proportional to 9,130.68, 13,697.82 and 3,865.68 is: 5,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.68 : 13,697.82 = 3,865.68 : x
  2. Step 2: Convert to fraction form
    9,130.68/13,697.82 = 3,865.68/x
  3. Step 3: Cross multiply
    9,130.68x = 13,697.82 × 3,865.68
  4. Step 4: Simplify right side
    9,130.68x = 52,951,388.82
  5. Step 5: Solve for x
    x = 52,951,388.82/9,130.68
  6. Step 6: Final answer
    x = 5,799.28

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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.