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Finding the Fourth Proportional to 11,642.73, 16,038.74 and 8,653.38

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Solution

The fourth proportional to 11,642.73, 16,038.74 and 8,653.38 is: 11,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.73 : 16,038.74 = 8,653.38 : x
  2. Step 2: Convert to fraction form
    11,642.73/16,038.74 = 8,653.38/x
  3. Step 3: Cross multiply
    11,642.73x = 16,038.74 × 8,653.38
  4. Step 4: Simplify right side
    11,642.73x = 138,789,268.67
  5. Step 5: Solve for x
    x = 138,789,268.67/11,642.73
  6. Step 6: Final answer
    x = 11,920.68

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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.