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Finding the Fourth Proportional to 3,238.95, 4,859.10 and 1,390.53

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Solution

The fourth proportional to 3,238.95, 4,859.10 and 1,390.53 is: 2,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.95 : 4,859.10 = 1,390.53 : x
  2. Step 2: Convert to fraction form
    3,238.95/4,859.10 = 1,390.53/x
  3. Step 3: Cross multiply
    3,238.95x = 4,859.10 × 1,390.53
  4. Step 4: Simplify right side
    3,238.95x = 6,756,724.32
  5. Step 5: Solve for x
    x = 6,756,724.32/3,238.95
  6. Step 6: Final answer
    x = 2,086.08

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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.