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Finding the Fourth Proportional to 14,065.70, 19,410.81 and 7,778.30

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Solution

The fourth proportional to 14,065.70, 19,410.81 and 7,778.30 is: 10,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.70 : 19,410.81 = 7,778.30 : x
  2. Step 2: Convert to fraction form
    14,065.70/19,410.81 = 7,778.30/x
  3. Step 3: Cross multiply
    14,065.70x = 19,410.81 × 7,778.30
  4. Step 4: Simplify right side
    14,065.70x = 150,983,103.42
  5. Step 5: Solve for x
    x = 150,983,103.42/14,065.70
  6. Step 6: Final answer
    x = 10,734.13

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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.