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Finding the Fourth Proportional to 3,866.17, 5,335.25 and 2,097.74

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Solution

The fourth proportional to 3,866.17, 5,335.25 and 2,097.74 is: 2,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.17 : 5,335.25 = 2,097.74 : x
  2. Step 2: Convert to fraction form
    3,866.17/5,335.25 = 2,097.74/x
  3. Step 3: Cross multiply
    3,866.17x = 5,335.25 × 2,097.74
  4. Step 4: Simplify right side
    3,866.17x = 11,191,967.34
  5. Step 5: Solve for x
    x = 11,191,967.34/3,866.17
  6. Step 6: Final answer
    x = 2,894.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.