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Finding the Fourth Proportional to 13,211.29, 19,808.09 and 6,964.71

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Solution

The fourth proportional to 13,211.29, 19,808.09 and 6,964.71 is: 10,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.29 : 19,808.09 = 6,964.71 : x
  2. Step 2: Convert to fraction form
    13,211.29/19,808.09 = 6,964.71/x
  3. Step 3: Cross multiply
    13,211.29x = 19,808.09 × 6,964.71
  4. Step 4: Simplify right side
    13,211.29x = 137,957,602.50
  5. Step 5: Solve for x
    x = 137,957,602.50/13,211.29
  6. Step 6: Final answer
    x = 10,442.40

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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.