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Finding the Fourth Proportional to 14,377.40, 19,840.74 and 8,089.82

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Solution

The fourth proportional to 14,377.40, 19,840.74 and 8,089.82 is: 11,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.40 : 19,840.74 = 8,089.82 : x
  2. Step 2: Convert to fraction form
    14,377.40/19,840.74 = 8,089.82/x
  3. Step 3: Cross multiply
    14,377.40x = 19,840.74 × 8,089.82
  4. Step 4: Simplify right side
    14,377.40x = 160,508,015.27
  5. Step 5: Solve for x
    x = 160,508,015.27/14,377.40
  6. Step 6: Final answer
    x = 11,163.91

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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.