Home / 2,527.46-3,488-1,408.40

Finding the Fourth Proportional to 2,527.46, 3,488 and 1,408.40

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Solution

The fourth proportional to 2,527.46, 3,488 and 1,408.40 is: 1,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.46 : 3,488 = 1,408.40 : x
  2. Step 2: Convert to fraction form
    2,527.46/3,488 = 1,408.40/x
  3. Step 3: Cross multiply
    2,527.46x = 3,488 × 1,408.40
  4. Step 4: Simplify right side
    2,527.46x = 4,912,499.20
  5. Step 5: Solve for x
    x = 4,912,499.20/2,527.46
  6. Step 6: Final answer
    x = 1,943.65

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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.