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Finding the Fourth Proportional to 7,763.20, 11,649.12 and 4,300

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Solution

The fourth proportional to 7,763.20, 11,649.12 and 4,300 is: 6,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.20 : 11,649.12 = 4,300 : x
  2. Step 2: Convert to fraction form
    7,763.20/11,649.12 = 4,300/x
  3. Step 3: Cross multiply
    7,763.20x = 11,649.12 × 4,300
  4. Step 4: Simplify right side
    7,763.20x = 50,091,216
  5. Step 5: Solve for x
    x = 50,091,216/7,763.20
  6. Step 6: Final answer
    x = 6,452.39

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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.