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Finding the Fourth Proportional to 19,985.82, 29,998.17 and 9,604.86

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Solution

The fourth proportional to 19,985.82, 29,998.17 and 9,604.86 is: 14,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.82 : 29,998.17 = 9,604.86 : x
  2. Step 2: Convert to fraction form
    19,985.82/29,998.17 = 9,604.86/x
  3. Step 3: Cross multiply
    19,985.82x = 29,998.17 × 9,604.86
  4. Step 4: Simplify right side
    19,985.82x = 288,128,223.11
  5. Step 5: Solve for x
    x = 288,128,223.11/19,985.82
  6. Step 6: Final answer
    x = 14,416.63

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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.