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Finding the Fourth Proportional to 2,439.03, 3,658.54 and 977.14

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Solution

The fourth proportional to 2,439.03, 3,658.54 and 977.14 is: 1,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.03 : 3,658.54 = 977.14 : x
  2. Step 2: Convert to fraction form
    2,439.03/3,658.54 = 977.14/x
  3. Step 3: Cross multiply
    2,439.03x = 3,658.54 × 977.14
  4. Step 4: Simplify right side
    2,439.03x = 3,574,905.78
  5. Step 5: Solve for x
    x = 3,574,905.78/2,439.03
  6. Step 6: Final answer
    x = 1,465.71

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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.