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Finding the Fourth Proportional to 7,765.47, 11,649.36 and 3,605.91

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Solution

The fourth proportional to 7,765.47, 11,649.36 and 3,605.91 is: 5,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.47 : 11,649.36 = 3,605.91 : x
  2. Step 2: Convert to fraction form
    7,765.47/11,649.36 = 3,605.91/x
  3. Step 3: Cross multiply
    7,765.47x = 11,649.36 × 3,605.91
  4. Step 4: Simplify right side
    7,765.47x = 42,006,543.72
  5. Step 5: Solve for x
    x = 42,006,543.72/7,765.47
  6. Step 6: Final answer
    x = 5,409.40

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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.