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Finding the Fourth Proportional to 4,962.34, 7,408 and 4,789.20

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Solution

The fourth proportional to 4,962.34, 7,408 and 4,789.20 is: 7,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.34 : 7,408 = 4,789.20 : x
  2. Step 2: Convert to fraction form
    4,962.34/7,408 = 4,789.20/x
  3. Step 3: Cross multiply
    4,962.34x = 7,408 × 4,789.20
  4. Step 4: Simplify right side
    4,962.34x = 35,478,393.60
  5. Step 5: Solve for x
    x = 35,478,393.60/4,962.34
  6. Step 6: Final answer
    x = 7,149.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.