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Finding the Fourth Proportional to 1,573.91, 2,171.95 and 865.76

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Solution

The fourth proportional to 1,573.91, 2,171.95 and 865.76 is: 1,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.91 : 2,171.95 = 865.76 : x
  2. Step 2: Convert to fraction form
    1,573.91/2,171.95 = 865.76/x
  3. Step 3: Cross multiply
    1,573.91x = 2,171.95 × 865.76
  4. Step 4: Simplify right side
    1,573.91x = 1,880,376.57
  5. Step 5: Solve for x
    x = 1,880,376.57/1,573.91
  6. Step 6: Final answer
    x = 1,194.72

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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.