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Finding the Fourth Proportional to 7,755, 11,632.76 and 3,075.88

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Solution

The fourth proportional to 7,755, 11,632.76 and 3,075.88 is: 4,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755 : 11,632.76 = 3,075.88 : x
  2. Step 2: Convert to fraction form
    7,755/11,632.76 = 3,075.88/x
  3. Step 3: Cross multiply
    7,755x = 11,632.76 × 3,075.88
  4. Step 4: Simplify right side
    7,755x = 35,780,973.83
  5. Step 5: Solve for x
    x = 35,780,973.83/7,755
  6. Step 6: Final answer
    x = 4,613.92

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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.