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Finding the Fourth Proportional to 19,411.30, 29,116.96 and 8,310.78

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Solution

The fourth proportional to 19,411.30, 29,116.96 and 8,310.78 is: 12,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,411.30 : 29,116.96 = 8,310.78 : x
  2. Step 2: Convert to fraction form
    19,411.30/29,116.96 = 8,310.78/x
  3. Step 3: Cross multiply
    19,411.30x = 29,116.96 × 8,310.78
  4. Step 4: Simplify right side
    19,411.30x = 241,984,648.83
  5. Step 5: Solve for x
    x = 241,984,648.83/19,411.30
  6. Step 6: Final answer
    x = 12,466.17

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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.