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Finding the Fourth Proportional to 1,580.31, 2,180.79 and 951.21

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Solution

The fourth proportional to 1,580.31, 2,180.79 and 951.21 is: 1,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.31 : 2,180.79 = 951.21 : x
  2. Step 2: Convert to fraction form
    1,580.31/2,180.79 = 951.21/x
  3. Step 3: Cross multiply
    1,580.31x = 2,180.79 × 951.21
  4. Step 4: Simplify right side
    1,580.31x = 2,074,389.26
  5. Step 5: Solve for x
    x = 2,074,389.26/1,580.31
  6. Step 6: Final answer
    x = 1,312.65

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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.