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Finding the Fourth Proportional to 14,402.13, 19,874.94 and 7,778.13

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Solution

The fourth proportional to 14,402.13, 19,874.94 and 7,778.13 is: 10,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.13 : 19,874.94 = 7,778.13 : x
  2. Step 2: Convert to fraction form
    14,402.13/19,874.94 = 7,778.13/x
  3. Step 3: Cross multiply
    14,402.13x = 19,874.94 × 7,778.13
  4. Step 4: Simplify right side
    14,402.13x = 154,589,728.80
  5. Step 5: Solve for x
    x = 154,589,728.80/14,402.13
  6. Step 6: Final answer
    x = 10,733.81

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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.