Home / 5,202-7,182.20-3,215.47

Finding the Fourth Proportional to 5,202, 7,182.20 and 3,215.47

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Solution

The fourth proportional to 5,202, 7,182.20 and 3,215.47 is: 4,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 7,182.20 = 3,215.47 : x
  2. Step 2: Convert to fraction form
    5,202/7,182.20 = 3,215.47/x
  3. Step 3: Cross multiply
    5,202x = 7,182.20 × 3,215.47
  4. Step 4: Simplify right side
    5,202x = 23,094,148.63
  5. Step 5: Solve for x
    x = 23,094,148.63/5,202
  6. Step 6: Final answer
    x = 4,439.47

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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.