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Finding the Fourth Proportional to 19,985.10, 29,920.05 and 12,209.10

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Solution

The fourth proportional to 19,985.10, 29,920.05 and 12,209.10 is: 18,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.10 : 29,920.05 = 12,209.10 : x
  2. Step 2: Convert to fraction form
    19,985.10/29,920.05 = 12,209.10/x
  3. Step 3: Cross multiply
    19,985.10x = 29,920.05 × 12,209.10
  4. Step 4: Simplify right side
    19,985.10x = 365,296,882.46
  5. Step 5: Solve for x
    x = 365,296,882.46/19,985.10
  6. Step 6: Final answer
    x = 18,278.46

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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.