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Finding the Fourth Proportional to 19,415.30, 29,122.96 and 8,314.82

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Solution

The fourth proportional to 19,415.30, 29,122.96 and 8,314.82 is: 12,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415.30 : 29,122.96 = 8,314.82 : x
  2. Step 2: Convert to fraction form
    19,415.30/29,122.96 = 8,314.82/x
  3. Step 3: Cross multiply
    19,415.30x = 29,122.96 × 8,314.82
  4. Step 4: Simplify right side
    19,415.30x = 242,152,170.27
  5. Step 5: Solve for x
    x = 242,152,170.27/19,415.30
  6. Step 6: Final answer
    x = 12,472.23

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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.