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Finding the Fourth Proportional to 4,972.83, 7,455.48 and 4,287.57

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Solution

The fourth proportional to 4,972.83, 7,455.48 and 4,287.57 is: 6,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.83 : 7,455.48 = 4,287.57 : x
  2. Step 2: Convert to fraction form
    4,972.83/7,455.48 = 4,287.57/x
  3. Step 3: Cross multiply
    4,972.83x = 7,455.48 × 4,287.57
  4. Step 4: Simplify right side
    4,972.83x = 31,965,892.38
  5. Step 5: Solve for x
    x = 31,965,892.38/4,972.83
  6. Step 6: Final answer
    x = 6,428.11

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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.