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Finding the Fourth Proportional to 7,655.52, 11,460.97 and 5,689.87

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Solution

The fourth proportional to 7,655.52, 11,460.97 and 5,689.87 is: 8,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.52 : 11,460.97 = 5,689.87 : x
  2. Step 2: Convert to fraction form
    7,655.52/11,460.97 = 5,689.87/x
  3. Step 3: Cross multiply
    7,655.52x = 11,460.97 × 5,689.87
  4. Step 4: Simplify right side
    7,655.52x = 65,211,429.37
  5. Step 5: Solve for x
    x = 65,211,429.37/7,655.52
  6. Step 6: Final answer
    x = 8,518.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.