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Finding the Fourth Proportional to 11,686.92, 16,133.62 and 7,502.28

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Solution

The fourth proportional to 11,686.92, 16,133.62 and 7,502.28 is: 10,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.92 : 16,133.62 = 7,502.28 : x
  2. Step 2: Convert to fraction form
    11,686.92/16,133.62 = 7,502.28/x
  3. Step 3: Cross multiply
    11,686.92x = 16,133.62 × 7,502.28
  4. Step 4: Simplify right side
    11,686.92x = 121,038,934.65
  5. Step 5: Solve for x
    x = 121,038,934.65/11,686.92
  6. Step 6: Final answer
    x = 10,356.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.