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Finding the Fourth Proportional to 13,920.12, 19,210.38 and 8,331

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Solution

The fourth proportional to 13,920.12, 19,210.38 and 8,331 is: 11,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.12 : 19,210.38 = 8,331 : x
  2. Step 2: Convert to fraction form
    13,920.12/19,210.38 = 8,331/x
  3. Step 3: Cross multiply
    13,920.12x = 19,210.38 × 8,331
  4. Step 4: Simplify right side
    13,920.12x = 160,041,675.78
  5. Step 5: Solve for x
    x = 160,041,675.78/13,920.12
  6. Step 6: Final answer
    x = 11,497.15

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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.