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Finding the Fourth Proportional to 2,073.66, 3,110.46 and 977.42

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Solution

The fourth proportional to 2,073.66, 3,110.46 and 977.42 is: 1,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.66 : 3,110.46 = 977.42 : x
  2. Step 2: Convert to fraction form
    2,073.66/3,110.46 = 977.42/x
  3. Step 3: Cross multiply
    2,073.66x = 3,110.46 × 977.42
  4. Step 4: Simplify right side
    2,073.66x = 3,040,225.81
  5. Step 5: Solve for x
    x = 3,040,225.81/2,073.66
  6. Step 6: Final answer
    x = 1,466.12

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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.