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Finding the Fourth Proportional to 3,807, 5,248.62 and 2,911.32

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Solution

The fourth proportional to 3,807, 5,248.62 and 2,911.32 is: 4,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807 : 5,248.62 = 2,911.32 : x
  2. Step 2: Convert to fraction form
    3,807/5,248.62 = 2,911.32/x
  3. Step 3: Cross multiply
    3,807x = 5,248.62 × 2,911.32
  4. Step 4: Simplify right side
    3,807x = 15,280,412.38
  5. Step 5: Solve for x
    x = 15,280,412.38/3,807
  6. Step 6: Final answer
    x = 4,013.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.