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Finding the Fourth Proportional to 13,081.80, 19,624.86 and 6,506.76

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Solution

The fourth proportional to 13,081.80, 19,624.86 and 6,506.76 is: 9,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.80 : 19,624.86 = 6,506.76 : x
  2. Step 2: Convert to fraction form
    13,081.80/19,624.86 = 6,506.76/x
  3. Step 3: Cross multiply
    13,081.80x = 19,624.86 × 6,506.76
  4. Step 4: Simplify right side
    13,081.80x = 127,694,254.05
  5. Step 5: Solve for x
    x = 127,694,254.05/13,081.80
  6. Step 6: Final answer
    x = 9,761.21

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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.