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Finding the Fourth Proportional to 11,474.70, 15,827.81 and 8,292.68

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Solution

The fourth proportional to 11,474.70, 15,827.81 and 8,292.68 is: 11,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.70 : 15,827.81 = 8,292.68 : x
  2. Step 2: Convert to fraction form
    11,474.70/15,827.81 = 8,292.68/x
  3. Step 3: Cross multiply
    11,474.70x = 15,827.81 × 8,292.68
  4. Step 4: Simplify right side
    11,474.70x = 131,254,902.18
  5. Step 5: Solve for x
    x = 131,254,902.18/11,474.70
  6. Step 6: Final answer
    x = 11,438.64

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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.