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Finding the Fourth Proportional to 17,645.22, 24,350.88 and 9,987.90

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Solution

The fourth proportional to 17,645.22, 24,350.88 and 9,987.90 is: 13,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.22 : 24,350.88 = 9,987.90 : x
  2. Step 2: Convert to fraction form
    17,645.22/24,350.88 = 9,987.90/x
  3. Step 3: Cross multiply
    17,645.22x = 24,350.88 × 9,987.90
  4. Step 4: Simplify right side
    17,645.22x = 243,214,154.35
  5. Step 5: Solve for x
    x = 243,214,154.35/17,645.22
  6. Step 6: Final answer
    x = 13,783.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.