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Finding the Fourth Proportional to 12,806.49, 17,681.04 and 9,816.78

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Solution

The fourth proportional to 12,806.49, 17,681.04 and 9,816.78 is: 13,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.49 : 17,681.04 = 9,816.78 : x
  2. Step 2: Convert to fraction form
    12,806.49/17,681.04 = 9,816.78/x
  3. Step 3: Cross multiply
    12,806.49x = 17,681.04 × 9,816.78
  4. Step 4: Simplify right side
    12,806.49x = 173,570,879.85
  5. Step 5: Solve for x
    x = 173,570,879.85/12,806.49
  6. Step 6: Final answer
    x = 13,553.35

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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.