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Finding the Fourth Proportional to 1,573.86, 2,171.91 and 910.70

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Solution

The fourth proportional to 1,573.86, 2,171.91 and 910.70 is: 1,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.86 : 2,171.91 = 910.70 : x
  2. Step 2: Convert to fraction form
    1,573.86/2,171.91 = 910.70/x
  3. Step 3: Cross multiply
    1,573.86x = 2,171.91 × 910.70
  4. Step 4: Simplify right side
    1,573.86x = 1,977,963.87
  5. Step 5: Solve for x
    x = 1,977,963.87/1,573.86
  6. Step 6: Final answer
    x = 1,256.76

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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.