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Finding the Fourth Proportional to 6,842.77, 10,272.66 and 6,811.18

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Solution

The fourth proportional to 6,842.77, 10,272.66 and 6,811.18 is: 10,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.77 : 10,272.66 = 6,811.18 : x
  2. Step 2: Convert to fraction form
    6,842.77/10,272.66 = 6,811.18/x
  3. Step 3: Cross multiply
    6,842.77x = 10,272.66 × 6,811.18
  4. Step 4: Simplify right side
    6,842.77x = 69,968,936.34
  5. Step 5: Solve for x
    x = 69,968,936.34/6,842.77
  6. Step 6: Final answer
    x = 10,225.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.