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Finding the Fourth Proportional to 1,672.70, 2,308.50 and 926.91

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Solution

The fourth proportional to 1,672.70, 2,308.50 and 926.91 is: 1,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.70 : 2,308.50 = 926.91 : x
  2. Step 2: Convert to fraction form
    1,672.70/2,308.50 = 926.91/x
  3. Step 3: Cross multiply
    1,672.70x = 2,308.50 × 926.91
  4. Step 4: Simplify right side
    1,672.70x = 2,139,771.74
  5. Step 5: Solve for x
    x = 2,139,771.74/1,672.70
  6. Step 6: Final answer
    x = 1,279.24

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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.