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Finding the Fourth Proportional to 7,812.36, 11,700.06 and 6,780.78

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Solution

The fourth proportional to 7,812.36, 11,700.06 and 6,780.78 is: 10,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.36 : 11,700.06 = 6,780.78 : x
  2. Step 2: Convert to fraction form
    7,812.36/11,700.06 = 6,780.78/x
  3. Step 3: Cross multiply
    7,812.36x = 11,700.06 × 6,780.78
  4. Step 4: Simplify right side
    7,812.36x = 79,335,532.85
  5. Step 5: Solve for x
    x = 79,335,532.85/7,812.36
  6. Step 6: Final answer
    x = 10,155.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.