Home / 5,782-7,985.68-3,915.76

Finding the Fourth Proportional to 5,782, 7,985.68 and 3,915.76

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Solution

The fourth proportional to 5,782, 7,985.68 and 3,915.76 is: 5,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 7,985.68 = 3,915.76 : x
  2. Step 2: Convert to fraction form
    5,782/7,985.68 = 3,915.76/x
  3. Step 3: Cross multiply
    5,782x = 7,985.68 × 3,915.76
  4. Step 4: Simplify right side
    5,782x = 31,270,006.32
  5. Step 5: Solve for x
    x = 31,270,006.32/5,782
  6. Step 6: Final answer
    x = 5,408.16

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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.