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Finding the Fourth Proportional to 19,987.56, 29,987.82 and 9,600.12

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Solution

The fourth proportional to 19,987.56, 29,987.82 and 9,600.12 is: 14,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.56 : 29,987.82 = 9,600.12 : x
  2. Step 2: Convert to fraction form
    19,987.56/29,987.82 = 9,600.12/x
  3. Step 3: Cross multiply
    19,987.56x = 29,987.82 × 9,600.12
  4. Step 4: Simplify right side
    19,987.56x = 287,886,670.54
  5. Step 5: Solve for x
    x = 287,886,670.54/19,987.56
  6. Step 6: Final answer
    x = 14,403.29

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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.