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Finding the Fourth Proportional to 9,000.66, 13,501 and 2,760.70

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Solution

The fourth proportional to 9,000.66, 13,501 and 2,760.70 is: 4,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.66 : 13,501 = 2,760.70 : x
  2. Step 2: Convert to fraction form
    9,000.66/13,501 = 2,760.70/x
  3. Step 3: Cross multiply
    9,000.66x = 13,501 × 2,760.70
  4. Step 4: Simplify right side
    9,000.66x = 37,272,210.70
  5. Step 5: Solve for x
    x = 37,272,210.70/9,000.66
  6. Step 6: Final answer
    x = 4,141.05

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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.