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Finding the Fourth Proportional to 5,159, 7,119.42 and 2,801.16

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Solution

The fourth proportional to 5,159, 7,119.42 and 2,801.16 is: 3,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159 : 7,119.42 = 2,801.16 : x
  2. Step 2: Convert to fraction form
    5,159/7,119.42 = 2,801.16/x
  3. Step 3: Cross multiply
    5,159x = 7,119.42 × 2,801.16
  4. Step 4: Simplify right side
    5,159x = 19,942,634.53
  5. Step 5: Solve for x
    x = 19,942,634.53/5,159
  6. Step 6: Final answer
    x = 3,865.60

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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.