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Finding the Fourth Proportional to 2,656.47, 3,986.07 and 2,011.17

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Solution

The fourth proportional to 2,656.47, 3,986.07 and 2,011.17 is: 3,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.47 : 3,986.07 = 2,011.17 : x
  2. Step 2: Convert to fraction form
    2,656.47/3,986.07 = 2,011.17/x
  3. Step 3: Cross multiply
    2,656.47x = 3,986.07 × 2,011.17
  4. Step 4: Simplify right side
    2,656.47x = 8,016,664.40
  5. Step 5: Solve for x
    x = 8,016,664.40/2,656.47
  6. Step 6: Final answer
    x = 3,017.79

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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.