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Finding the Fourth Proportional to 2,621.40, 3,931.38 and 977.82

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Solution

The fourth proportional to 2,621.40, 3,931.38 and 977.82 is: 1,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.40 : 3,931.38 = 977.82 : x
  2. Step 2: Convert to fraction form
    2,621.40/3,931.38 = 977.82/x
  3. Step 3: Cross multiply
    2,621.40x = 3,931.38 × 977.82
  4. Step 4: Simplify right side
    2,621.40x = 3,844,181.99
  5. Step 5: Solve for x
    x = 3,844,181.99/2,621.40
  6. Step 6: Final answer
    x = 1,466.46

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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.