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Finding the Fourth Proportional to 2,580.40, 3,560.90 and 1,401.50

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Solution

The fourth proportional to 2,580.40, 3,560.90 and 1,401.50 is: 1,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.40 : 3,560.90 = 1,401.50 : x
  2. Step 2: Convert to fraction form
    2,580.40/3,560.90 = 1,401.50/x
  3. Step 3: Cross multiply
    2,580.40x = 3,560.90 × 1,401.50
  4. Step 4: Simplify right side
    2,580.40x = 4,990,601.35
  5. Step 5: Solve for x
    x = 4,990,601.35/2,580.40
  6. Step 6: Final answer
    x = 1,934.04

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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.