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Finding the Fourth Proportional to 11,405.73, 15,737.81 and 7,867.65

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Solution

The fourth proportional to 11,405.73, 15,737.81 and 7,867.65 is: 10,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.73 : 15,737.81 = 7,867.65 : x
  2. Step 2: Convert to fraction form
    11,405.73/15,737.81 = 7,867.65/x
  3. Step 3: Cross multiply
    11,405.73x = 15,737.81 × 7,867.65
  4. Step 4: Simplify right side
    11,405.73x = 123,819,541.51
  5. Step 5: Solve for x
    x = 123,819,541.51/11,405.73
  6. Step 6: Final answer
    x = 10,855.91

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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.