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Finding the Fourth Proportional to 11,809.88, 17,734.54 and 7,377.84

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Solution

The fourth proportional to 11,809.88, 17,734.54 and 7,377.84 is: 11,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.88 : 17,734.54 = 7,377.84 : x
  2. Step 2: Convert to fraction form
    11,809.88/17,734.54 = 7,377.84/x
  3. Step 3: Cross multiply
    11,809.88x = 17,734.54 × 7,377.84
  4. Step 4: Simplify right side
    11,809.88x = 130,842,598.59
  5. Step 5: Solve for x
    x = 130,842,598.59/11,809.88
  6. Step 6: Final answer
    x = 11,079.08

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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.