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Finding the Fourth Proportional to 2,621.78, 3,931.76 and 890

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Solution

The fourth proportional to 2,621.78, 3,931.76 and 890 is: 1,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.78 : 3,931.76 = 890 : x
  2. Step 2: Convert to fraction form
    2,621.78/3,931.76 = 890/x
  3. Step 3: Cross multiply
    2,621.78x = 3,931.76 × 890
  4. Step 4: Simplify right side
    2,621.78x = 3,499,266.40
  5. Step 5: Solve for x
    x = 3,499,266.40/2,621.78
  6. Step 6: Final answer
    x = 1,334.69

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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.