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Finding the Fourth Proportional to 9,912.84, 13,679.28 and 5,931.56

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Solution

The fourth proportional to 9,912.84, 13,679.28 and 5,931.56 is: 8,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.84 : 13,679.28 = 5,931.56 : x
  2. Step 2: Convert to fraction form
    9,912.84/13,679.28 = 5,931.56/x
  3. Step 3: Cross multiply
    9,912.84x = 13,679.28 × 5,931.56
  4. Step 4: Simplify right side
    9,912.84x = 81,139,470.08
  5. Step 5: Solve for x
    x = 81,139,470.08/9,912.84
  6. Step 6: Final answer
    x = 8,185.29

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1.5x scale

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.