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Finding the Fourth Proportional to 5,150.72, 7,726.08 and 2,072

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Solution

The fourth proportional to 5,150.72, 7,726.08 and 2,072 is: 3,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.72 : 7,726.08 = 2,072 : x
  2. Step 2: Convert to fraction form
    5,150.72/7,726.08 = 2,072/x
  3. Step 3: Cross multiply
    5,150.72x = 7,726.08 × 2,072
  4. Step 4: Simplify right side
    5,150.72x = 16,008,437.76
  5. Step 5: Solve for x
    x = 16,008,437.76/5,150.72
  6. Step 6: Final answer
    x = 3,108

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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.