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Finding the Fourth Proportional to 2,602.95, 3,900.78 and 1,952.93

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Solution

The fourth proportional to 2,602.95, 3,900.78 and 1,952.93 is: 2,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.95 : 3,900.78 = 1,952.93 : x
  2. Step 2: Convert to fraction form
    2,602.95/3,900.78 = 1,952.93/x
  3. Step 3: Cross multiply
    2,602.95x = 3,900.78 × 1,952.93
  4. Step 4: Simplify right side
    2,602.95x = 7,617,930.78
  5. Step 5: Solve for x
    x = 7,617,930.78/2,602.95
  6. Step 6: Final answer
    x = 2,926.65

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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.