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Finding the Fourth Proportional to 4,768.78, 7,154.12 and 1,648.90

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Solution

The fourth proportional to 4,768.78, 7,154.12 and 1,648.90 is: 2,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.78 : 7,154.12 = 1,648.90 : x
  2. Step 2: Convert to fraction form
    4,768.78/7,154.12 = 1,648.90/x
  3. Step 3: Cross multiply
    4,768.78x = 7,154.12 × 1,648.90
  4. Step 4: Simplify right side
    4,768.78x = 11,796,428.47
  5. Step 5: Solve for x
    x = 11,796,428.47/4,768.78
  6. Step 6: Final answer
    x = 2,473.68

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1.5x scale

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.