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Finding the Fourth Proportional to 1,778.50, 2,667.95 and 913.02

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Solution

The fourth proportional to 1,778.50, 2,667.95 and 913.02 is: 1,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.50 : 2,667.95 = 913.02 : x
  2. Step 2: Convert to fraction form
    1,778.50/2,667.95 = 913.02/x
  3. Step 3: Cross multiply
    1,778.50x = 2,667.95 × 913.02
  4. Step 4: Simplify right side
    1,778.50x = 2,435,891.71
  5. Step 5: Solve for x
    x = 2,435,891.71/1,778.50
  6. Step 6: Final answer
    x = 1,369.63

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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.