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Finding the Fourth Proportional to 12,806.58, 19,211.86 and 5,411.08

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Solution

The fourth proportional to 12,806.58, 19,211.86 and 5,411.08 is: 8,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.58 : 19,211.86 = 5,411.08 : x
  2. Step 2: Convert to fraction form
    12,806.58/19,211.86 = 5,411.08/x
  3. Step 3: Cross multiply
    12,806.58x = 19,211.86 × 5,411.08
  4. Step 4: Simplify right side
    12,806.58x = 103,956,815.35
  5. Step 5: Solve for x
    x = 103,956,815.35/12,806.58
  6. Step 6: Final answer
    x = 8,117.45

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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.