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Finding the Fourth Proportional to 2,866.59, 3,955.64 and 1,671.53

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Solution

The fourth proportional to 2,866.59, 3,955.64 and 1,671.53 is: 2,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.59 : 3,955.64 = 1,671.53 : x
  2. Step 2: Convert to fraction form
    2,866.59/3,955.64 = 1,671.53/x
  3. Step 3: Cross multiply
    2,866.59x = 3,955.64 × 1,671.53
  4. Step 4: Simplify right side
    2,866.59x = 6,611,942.79
  5. Step 5: Solve for x
    x = 6,611,942.79/2,866.59
  6. Step 6: Final answer
    x = 2,306.55

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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.