Home / 5,706-7,868.52-5,147.28

Finding the Fourth Proportional to 5,706, 7,868.52 and 5,147.28

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Solution

The fourth proportional to 5,706, 7,868.52 and 5,147.28 is: 7,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 7,868.52 = 5,147.28 : x
  2. Step 2: Convert to fraction form
    5,706/7,868.52 = 5,147.28/x
  3. Step 3: Cross multiply
    5,706x = 7,868.52 × 5,147.28
  4. Step 4: Simplify right side
    5,706x = 40,501,475.63
  5. Step 5: Solve for x
    x = 40,501,475.63/5,706
  6. Step 6: Final answer
    x = 7,098.05

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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.