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Finding the Fourth Proportional to 12,782.88, 17,640.84 and 7,117.92

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Solution

The fourth proportional to 12,782.88, 17,640.84 and 7,117.92 is: 9,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.88 : 17,640.84 = 7,117.92 : x
  2. Step 2: Convert to fraction form
    12,782.88/17,640.84 = 7,117.92/x
  3. Step 3: Cross multiply
    12,782.88x = 17,640.84 × 7,117.92
  4. Step 4: Simplify right side
    12,782.88x = 125,566,087.85
  5. Step 5: Solve for x
    x = 125,566,087.85/12,782.88
  6. Step 6: Final answer
    x = 9,822.99

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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.