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Finding the Fourth Proportional to 14,003.80, 19,324.78 and 7,716.16

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Solution

The fourth proportional to 14,003.80, 19,324.78 and 7,716.16 is: 10,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.80 : 19,324.78 = 7,716.16 : x
  2. Step 2: Convert to fraction form
    14,003.80/19,324.78 = 7,716.16/x
  3. Step 3: Cross multiply
    14,003.80x = 19,324.78 × 7,716.16
  4. Step 4: Simplify right side
    14,003.80x = 149,113,094.44
  5. Step 5: Solve for x
    x = 149,113,094.44/14,003.80
  6. Step 6: Final answer
    x = 10,648.05

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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.