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Finding the Fourth Proportional to 6,061.80, 9,094.45 and 2,550

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Solution

The fourth proportional to 6,061.80, 9,094.45 and 2,550 is: 3,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.80 : 9,094.45 = 2,550 : x
  2. Step 2: Convert to fraction form
    6,061.80/9,094.45 = 2,550/x
  3. Step 3: Cross multiply
    6,061.80x = 9,094.45 × 2,550
  4. Step 4: Simplify right side
    6,061.80x = 23,190,847.50
  5. Step 5: Solve for x
    x = 23,190,847.50/6,061.80
  6. Step 6: Final answer
    x = 3,825.74

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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.