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Finding the Fourth Proportional to 14,311.61, 19,747.49 and 8,642.57

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Solution

The fourth proportional to 14,311.61, 19,747.49 and 8,642.57 is: 11,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.61 : 19,747.49 = 8,642.57 : x
  2. Step 2: Convert to fraction form
    14,311.61/19,747.49 = 8,642.57/x
  3. Step 3: Cross multiply
    14,311.61x = 19,747.49 × 8,642.57
  4. Step 4: Simplify right side
    14,311.61x = 170,669,021.44
  5. Step 5: Solve for x
    x = 170,669,021.44/14,311.61
  6. Step 6: Final answer
    x = 11,925.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.