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Finding the Fourth Proportional to 11,987.84, 17,954.04 and 11,572.64

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Solution

The fourth proportional to 11,987.84, 17,954.04 and 11,572.64 is: 17,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.84 : 17,954.04 = 11,572.64 : x
  2. Step 2: Convert to fraction form
    11,987.84/17,954.04 = 11,572.64/x
  3. Step 3: Cross multiply
    11,987.84x = 17,954.04 × 11,572.64
  4. Step 4: Simplify right side
    11,987.84x = 207,775,641.47
  5. Step 5: Solve for x
    x = 207,775,641.47/11,987.84
  6. Step 6: Final answer
    x = 17,332.20

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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.