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Finding the Fourth Proportional to 9,782.71, 13,502.91 and 8,018.53

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Solution

The fourth proportional to 9,782.71, 13,502.91 and 8,018.53 is: 11,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.71 : 13,502.91 = 8,018.53 : x
  2. Step 2: Convert to fraction form
    9,782.71/13,502.91 = 8,018.53/x
  3. Step 3: Cross multiply
    9,782.71x = 13,502.91 × 8,018.53
  4. Step 4: Simplify right side
    9,782.71x = 108,273,488.92
  5. Step 5: Solve for x
    x = 108,273,488.92/9,782.71
  6. Step 6: Final answer
    x = 11,067.84

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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.