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Finding the Fourth Proportional to 6,881.79, 10,302.15 and 6,764.24

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Solution

The fourth proportional to 6,881.79, 10,302.15 and 6,764.24 is: 10,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.79 : 10,302.15 = 6,764.24 : x
  2. Step 2: Convert to fraction form
    6,881.79/10,302.15 = 6,764.24/x
  3. Step 3: Cross multiply
    6,881.79x = 10,302.15 × 6,764.24
  4. Step 4: Simplify right side
    6,881.79x = 69,686,163.61
  5. Step 5: Solve for x
    x = 69,686,163.61/6,881.79
  6. Step 6: Final answer
    x = 10,126.17

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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.