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Finding the Fourth Proportional to 4,807.78, 7,202.32 and 3,159.32

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Solution

The fourth proportional to 4,807.78, 7,202.32 and 3,159.32 is: 4,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.78 : 7,202.32 = 3,159.32 : x
  2. Step 2: Convert to fraction form
    4,807.78/7,202.32 = 3,159.32/x
  3. Step 3: Cross multiply
    4,807.78x = 7,202.32 × 3,159.32
  4. Step 4: Simplify right side
    4,807.78x = 22,754,389.71
  5. Step 5: Solve for x
    x = 22,754,389.71/4,807.78
  6. Step 6: Final answer
    x = 4,732.83

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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.