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Finding the Fourth Proportional to 1,573.71, 2,171.78 and 865.63

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Solution

The fourth proportional to 1,573.71, 2,171.78 and 865.63 is: 1,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.71 : 2,171.78 = 865.63 : x
  2. Step 2: Convert to fraction form
    1,573.71/2,171.78 = 865.63/x
  3. Step 3: Cross multiply
    1,573.71x = 2,171.78 × 865.63
  4. Step 4: Simplify right side
    1,573.71x = 1,879,957.92
  5. Step 5: Solve for x
    x = 1,879,957.92/1,573.71
  6. Step 6: Final answer
    x = 1,194.60

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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.