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Finding the Fourth Proportional to 13,920.84, 20,870.28 and 6,895.89

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Solution

The fourth proportional to 13,920.84, 20,870.28 and 6,895.89 is: 10,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.84 : 20,870.28 = 6,895.89 : x
  2. Step 2: Convert to fraction form
    13,920.84/20,870.28 = 6,895.89/x
  3. Step 3: Cross multiply
    13,920.84x = 20,870.28 × 6,895.89
  4. Step 4: Simplify right side
    13,920.84x = 143,919,155.15
  5. Step 5: Solve for x
    x = 143,919,155.15/13,920.84
  6. Step 6: Final answer
    x = 10,338.40

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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.