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Finding the Fourth Proportional to 5,658, 7,808.04 and 3,174.80

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Solution

The fourth proportional to 5,658, 7,808.04 and 3,174.80 is: 4,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658 : 7,808.04 = 3,174.80 : x
  2. Step 2: Convert to fraction form
    5,658/7,808.04 = 3,174.80/x
  3. Step 3: Cross multiply
    5,658x = 7,808.04 × 3,174.80
  4. Step 4: Simplify right side
    5,658x = 24,788,965.39
  5. Step 5: Solve for x
    x = 24,788,965.39/5,658
  6. Step 6: Final answer
    x = 4,381.22

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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.