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Finding the Fourth Proportional to 2,866.60, 3,955.95 and 1,747.57

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Solution

The fourth proportional to 2,866.60, 3,955.95 and 1,747.57 is: 2,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.60 : 3,955.95 = 1,747.57 : x
  2. Step 2: Convert to fraction form
    2,866.60/3,955.95 = 1,747.57/x
  3. Step 3: Cross multiply
    2,866.60x = 3,955.95 × 1,747.57
  4. Step 4: Simplify right side
    2,866.60x = 6,913,299.54
  5. Step 5: Solve for x
    x = 6,913,299.54/2,866.60
  6. Step 6: Final answer
    x = 2,411.67

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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.