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Finding the Fourth Proportional to 5,343, 7,373.52 and 2,985.84

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Solution

The fourth proportional to 5,343, 7,373.52 and 2,985.84 is: 4,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343 : 7,373.52 = 2,985.84 : x
  2. Step 2: Convert to fraction form
    5,343/7,373.52 = 2,985.84/x
  3. Step 3: Cross multiply
    5,343x = 7,373.52 × 2,985.84
  4. Step 4: Simplify right side
    5,343x = 22,016,150.96
  5. Step 5: Solve for x
    x = 22,016,150.96/5,343
  6. Step 6: Final answer
    x = 4,120.56

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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.