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Finding the Fourth Proportional to 19,993, 29,987.35 and 10,623.09

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Solution

The fourth proportional to 19,993, 29,987.35 and 10,623.09 is: 15,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993 : 29,987.35 = 10,623.09 : x
  2. Step 2: Convert to fraction form
    19,993/29,987.35 = 10,623.09/x
  3. Step 3: Cross multiply
    19,993x = 29,987.35 × 10,623.09
  4. Step 4: Simplify right side
    19,993x = 318,558,317.91
  5. Step 5: Solve for x
    x = 318,558,317.91/19,993
  6. Step 6: Final answer
    x = 15,933.49

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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.