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Finding the Fourth Proportional to 5,611.08, 7,734 and 5,140.48

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Solution

The fourth proportional to 5,611.08, 7,734 and 5,140.48 is: 7,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.08 : 7,734 = 5,140.48 : x
  2. Step 2: Convert to fraction form
    5,611.08/7,734 = 5,140.48/x
  3. Step 3: Cross multiply
    5,611.08x = 7,734 × 5,140.48
  4. Step 4: Simplify right side
    5,611.08x = 39,756,472.32
  5. Step 5: Solve for x
    x = 39,756,472.32/5,611.08
  6. Step 6: Final answer
    x = 7,085.35

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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.