Home / 9,719.82-13,410-5,470.02

Finding the Fourth Proportional to 9,719.82, 13,410 and 5,470.02

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Solution

The fourth proportional to 9,719.82, 13,410 and 5,470.02 is: 7,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.82 : 13,410 = 5,470.02 : x
  2. Step 2: Convert to fraction form
    9,719.82/13,410 = 5,470.02/x
  3. Step 3: Cross multiply
    9,719.82x = 13,410 × 5,470.02
  4. Step 4: Simplify right side
    9,719.82x = 73,352,968.20
  5. Step 5: Solve for x
    x = 73,352,968.20/9,719.82
  6. Step 6: Final answer
    x = 7,546.74

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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.