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Finding the Fourth Proportional to 3,608.32, 5,412.48 and 975.82

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Solution

The fourth proportional to 3,608.32, 5,412.48 and 975.82 is: 1,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.32 : 5,412.48 = 975.82 : x
  2. Step 2: Convert to fraction form
    3,608.32/5,412.48 = 975.82/x
  3. Step 3: Cross multiply
    3,608.32x = 5,412.48 × 975.82
  4. Step 4: Simplify right side
    3,608.32x = 5,281,606.23
  5. Step 5: Solve for x
    x = 5,281,606.23/3,608.32
  6. Step 6: Final answer
    x = 1,463.73

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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.