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Finding the Fourth Proportional to 4,767.78, 7,152.62 and 1,647.90

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Solution

The fourth proportional to 4,767.78, 7,152.62 and 1,647.90 is: 2,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.78 : 7,152.62 = 1,647.90 : x
  2. Step 2: Convert to fraction form
    4,767.78/7,152.62 = 1,647.90/x
  3. Step 3: Cross multiply
    4,767.78x = 7,152.62 × 1,647.90
  4. Step 4: Simplify right side
    4,767.78x = 11,786,802.50
  5. Step 5: Solve for x
    x = 11,786,802.50/4,767.78
  6. Step 6: Final answer
    x = 2,472.18

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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.