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Finding the Fourth Proportional to 19,658, 29,491.88 and 6,511.72

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Solution

The fourth proportional to 19,658, 29,491.88 and 6,511.72 is: 9,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658 : 29,491.88 = 6,511.72 : x
  2. Step 2: Convert to fraction form
    19,658/29,491.88 = 6,511.72/x
  3. Step 3: Cross multiply
    19,658x = 29,491.88 × 6,511.72
  4. Step 4: Simplify right side
    19,658x = 192,042,864.83
  5. Step 5: Solve for x
    x = 192,042,864.83/19,658
  6. Step 6: Final answer
    x = 9,769.20

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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.