Home / 7,121.52-9,828-4,138.02

Finding the Fourth Proportional to 7,121.52, 9,828 and 4,138.02

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Solution

The fourth proportional to 7,121.52, 9,828 and 4,138.02 is: 5,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.52 : 9,828 = 4,138.02 : x
  2. Step 2: Convert to fraction form
    7,121.52/9,828 = 4,138.02/x
  3. Step 3: Cross multiply
    7,121.52x = 9,828 × 4,138.02
  4. Step 4: Simplify right side
    7,121.52x = 40,668,460.56
  5. Step 5: Solve for x
    x = 40,668,460.56/7,121.52
  6. Step 6: Final answer
    x = 5,710.64

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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.