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Finding the Fourth Proportional to 21,019.29, 31,513.13 and 9,919.65

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Solution

The fourth proportional to 21,019.29, 31,513.13 and 9,919.65 is: 14,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.29 : 31,513.13 = 9,919.65 : x
  2. Step 2: Convert to fraction form
    21,019.29/31,513.13 = 9,919.65/x
  3. Step 3: Cross multiply
    21,019.29x = 31,513.13 × 9,919.65
  4. Step 4: Simplify right side
    21,019.29x = 312,599,220.00
  5. Step 5: Solve for x
    x = 312,599,220.00/21,019.29
  6. Step 6: Final answer
    x = 14,872.02

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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.