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Finding the Fourth Proportional to 1,302.70, 1,951.29 and 1,209.76

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Solution

The fourth proportional to 1,302.70, 1,951.29 and 1,209.76 is: 1,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.70 : 1,951.29 = 1,209.76 : x
  2. Step 2: Convert to fraction form
    1,302.70/1,951.29 = 1,209.76/x
  3. Step 3: Cross multiply
    1,302.70x = 1,951.29 × 1,209.76
  4. Step 4: Simplify right side
    1,302.70x = 2,360,592.59
  5. Step 5: Solve for x
    x = 2,360,592.59/1,302.70
  6. Step 6: Final answer
    x = 1,812.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.