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Finding the Fourth Proportional to 2,621.67, 3,931.56 and 866.35

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Solution

The fourth proportional to 2,621.67, 3,931.56 and 866.35 is: 1,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.67 : 3,931.56 = 866.35 : x
  2. Step 2: Convert to fraction form
    2,621.67/3,931.56 = 866.35/x
  3. Step 3: Cross multiply
    2,621.67x = 3,931.56 × 866.35
  4. Step 4: Simplify right side
    2,621.67x = 3,406,092.24
  5. Step 5: Solve for x
    x = 3,406,092.24/2,621.67
  6. Step 6: Final answer
    x = 1,299.21

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1.5x scale

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.