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Finding the Fourth Proportional to 2,438.78, 3,658.10 and 977.54

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Solution

The fourth proportional to 2,438.78, 3,658.10 and 977.54 is: 1,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.78 : 3,658.10 = 977.54 : x
  2. Step 2: Convert to fraction form
    2,438.78/3,658.10 = 977.54/x
  3. Step 3: Cross multiply
    2,438.78x = 3,658.10 × 977.54
  4. Step 4: Simplify right side
    2,438.78x = 3,575,915.90
  5. Step 5: Solve for x
    x = 3,575,915.90/2,438.78
  6. Step 6: Final answer
    x = 1,466.28

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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.