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Finding the Fourth Proportional to 7,809.80, 11,700.12 and 5,214.56

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Solution

The fourth proportional to 7,809.80, 11,700.12 and 5,214.56 is: 7,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.80 : 11,700.12 = 5,214.56 : x
  2. Step 2: Convert to fraction form
    7,809.80/11,700.12 = 5,214.56/x
  3. Step 3: Cross multiply
    7,809.80x = 11,700.12 × 5,214.56
  4. Step 4: Simplify right side
    7,809.80x = 61,010,977.75
  5. Step 5: Solve for x
    x = 61,010,977.75/7,809.80
  6. Step 6: Final answer
    x = 7,812.11

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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.