Home / 7,844.32-10,820.52-5,356

Finding the Fourth Proportional to 7,844.32, 10,820.52 and 5,356

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Solution

The fourth proportional to 7,844.32, 10,820.52 and 5,356 is: 7,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.32 : 10,820.52 = 5,356 : x
  2. Step 2: Convert to fraction form
    7,844.32/10,820.52 = 5,356/x
  3. Step 3: Cross multiply
    7,844.32x = 10,820.52 × 5,356
  4. Step 4: Simplify right side
    7,844.32x = 57,954,705.12
  5. Step 5: Solve for x
    x = 57,954,705.12/7,844.32
  6. Step 6: Final answer
    x = 7,388.11

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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.