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Finding the Fourth Proportional to 5,347.68, 7,379.84 and 2,989.82

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Solution

The fourth proportional to 5,347.68, 7,379.84 and 2,989.82 is: 4,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.68 : 7,379.84 = 2,989.82 : x
  2. Step 2: Convert to fraction form
    5,347.68/7,379.84 = 2,989.82/x
  3. Step 3: Cross multiply
    5,347.68x = 7,379.84 × 2,989.82
  4. Step 4: Simplify right side
    5,347.68x = 22,064,393.23
  5. Step 5: Solve for x
    x = 22,064,393.23/5,347.68
  6. Step 6: Final answer
    x = 4,125.98

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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.