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Finding the Fourth Proportional to 6,836.40, 9,315.07 and 6,684.66

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Solution

The fourth proportional to 6,836.40, 9,315.07 and 6,684.66 is: 9,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.40 : 9,315.07 = 6,684.66 : x
  2. Step 2: Convert to fraction form
    6,836.40/9,315.07 = 6,684.66/x
  3. Step 3: Cross multiply
    6,836.40x = 9,315.07 × 6,684.66
  4. Step 4: Simplify right side
    6,836.40x = 62,268,059.11
  5. Step 5: Solve for x
    x = 62,268,059.11/6,836.40
  6. Step 6: Final answer
    x = 9,108.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.