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Finding the Fourth Proportional to 2,502.95, 3,450.39 and 1,970.13

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Solution

The fourth proportional to 2,502.95, 3,450.39 and 1,970.13 is: 2,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.95 : 3,450.39 = 1,970.13 : x
  2. Step 2: Convert to fraction form
    2,502.95/3,450.39 = 1,970.13/x
  3. Step 3: Cross multiply
    2,502.95x = 3,450.39 × 1,970.13
  4. Step 4: Simplify right side
    2,502.95x = 6,797,698.55
  5. Step 5: Solve for x
    x = 6,797,698.55/2,502.95
  6. Step 6: Final answer
    x = 2,715.87

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1.5x scale

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.