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Finding the Fourth Proportional to 7,851.64, 10,836.30 and 5,065.24

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Solution

The fourth proportional to 7,851.64, 10,836.30 and 5,065.24 is: 6,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.64 : 10,836.30 = 5,065.24 : x
  2. Step 2: Convert to fraction form
    7,851.64/10,836.30 = 5,065.24/x
  3. Step 3: Cross multiply
    7,851.64x = 10,836.30 × 5,065.24
  4. Step 4: Simplify right side
    7,851.64x = 54,888,460.21
  5. Step 5: Solve for x
    x = 54,888,460.21/7,851.64
  6. Step 6: Final answer
    x = 6,990.70

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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.