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Finding the Fourth Proportional to 11,805.84, 17,695.80 and 4,008.78

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Solution

The fourth proportional to 11,805.84, 17,695.80 and 4,008.78 is: 6,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.84 : 17,695.80 = 4,008.78 : x
  2. Step 2: Convert to fraction form
    11,805.84/17,695.80 = 4,008.78/x
  3. Step 3: Cross multiply
    11,805.84x = 17,695.80 × 4,008.78
  4. Step 4: Simplify right side
    11,805.84x = 70,938,569.12
  5. Step 5: Solve for x
    x = 70,938,569.12/11,805.84
  6. Step 6: Final answer
    x = 6,008.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.