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Finding the Fourth Proportional to 2,390.76, 3,586.14 and 2,255.40

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Solution

The fourth proportional to 2,390.76, 3,586.14 and 2,255.40 is: 3,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.76 : 3,586.14 = 2,255.40 : x
  2. Step 2: Convert to fraction form
    2,390.76/3,586.14 = 2,255.40/x
  3. Step 3: Cross multiply
    2,390.76x = 3,586.14 × 2,255.40
  4. Step 4: Simplify right side
    2,390.76x = 8,088,180.16
  5. Step 5: Solve for x
    x = 8,088,180.16/2,390.76
  6. Step 6: Final answer
    x = 3,383.10

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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.