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Finding the Fourth Proportional to 19,869, 29,813.72 and 13,210.12

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Solution

The fourth proportional to 19,869, 29,813.72 and 13,210.12 is: 19,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869 : 29,813.72 = 13,210.12 : x
  2. Step 2: Convert to fraction form
    19,869/29,813.72 = 13,210.12/x
  3. Step 3: Cross multiply
    19,869x = 29,813.72 × 13,210.12
  4. Step 4: Simplify right side
    19,869x = 393,842,818.85
  5. Step 5: Solve for x
    x = 393,842,818.85/19,869
  6. Step 6: Final answer
    x = 19,821.97

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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.