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Finding the Fourth Proportional to 7,800.84, 10,814.65 and 7,380.05

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Solution

The fourth proportional to 7,800.84, 10,814.65 and 7,380.05 is: 10,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.84 : 10,814.65 = 7,380.05 : x
  2. Step 2: Convert to fraction form
    7,800.84/10,814.65 = 7,380.05/x
  3. Step 3: Cross multiply
    7,800.84x = 10,814.65 × 7,380.05
  4. Step 4: Simplify right side
    7,800.84x = 79,812,585.21
  5. Step 5: Solve for x
    x = 79,812,585.21/7,800.84
  6. Step 6: Final answer
    x = 10,231.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.