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Finding the Fourth Proportional to 19,987.97, 29,972.16 and 11,670.08

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Solution

The fourth proportional to 19,987.97, 29,972.16 and 11,670.08 is: 17,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.97 : 29,972.16 = 11,670.08 : x
  2. Step 2: Convert to fraction form
    19,987.97/29,972.16 = 11,670.08/x
  3. Step 3: Cross multiply
    19,987.97x = 29,972.16 × 11,670.08
  4. Step 4: Simplify right side
    19,987.97x = 349,777,355.11
  5. Step 5: Solve for x
    x = 349,777,355.11/19,987.97
  6. Step 6: Final answer
    x = 17,499.40

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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.