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Finding the Fourth Proportional to 2,656.46, 3,984.69 and 1,269.47

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Solution

The fourth proportional to 2,656.46, 3,984.69 and 1,269.47 is: 1,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.46 : 3,984.69 = 1,269.47 : x
  2. Step 2: Convert to fraction form
    2,656.46/3,984.69 = 1,269.47/x
  3. Step 3: Cross multiply
    2,656.46x = 3,984.69 × 1,269.47
  4. Step 4: Simplify right side
    2,656.46x = 5,058,459.14
  5. Step 5: Solve for x
    x = 5,058,459.14/2,656.46
  6. Step 6: Final answer
    x = 1,904.21

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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.