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Finding the Fourth Proportional to 1,902.69, 2,626.02 and 1,312.74

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Solution

The fourth proportional to 1,902.69, 2,626.02 and 1,312.74 is: 1,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.69 : 2,626.02 = 1,312.74 : x
  2. Step 2: Convert to fraction form
    1,902.69/2,626.02 = 1,312.74/x
  3. Step 3: Cross multiply
    1,902.69x = 2,626.02 × 1,312.74
  4. Step 4: Simplify right side
    1,902.69x = 3,447,281.49
  5. Step 5: Solve for x
    x = 3,447,281.49/1,902.69
  6. Step 6: Final answer
    x = 1,811.79

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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.