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Finding the Fourth Proportional to 8,064.70, 11,138.72 and 7,355.31

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Solution

The fourth proportional to 8,064.70, 11,138.72 and 7,355.31 is: 10,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.70 : 11,138.72 = 7,355.31 : x
  2. Step 2: Convert to fraction form
    8,064.70/11,138.72 = 7,355.31/x
  3. Step 3: Cross multiply
    8,064.70x = 11,138.72 × 7,355.31
  4. Step 4: Simplify right side
    8,064.70x = 81,928,660.06
  5. Step 5: Solve for x
    x = 81,928,660.06/8,064.70
  6. Step 6: Final answer
    x = 10,158.93

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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.