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Finding the Fourth Proportional to 7,781.14, 11,670.14 and 2,849.10

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Solution

The fourth proportional to 7,781.14, 11,670.14 and 2,849.10 is: 4,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.14 : 11,670.14 = 2,849.10 : x
  2. Step 2: Convert to fraction form
    7,781.14/11,670.14 = 2,849.10/x
  3. Step 3: Cross multiply
    7,781.14x = 11,670.14 × 2,849.10
  4. Step 4: Simplify right side
    7,781.14x = 33,249,359.23
  5. Step 5: Solve for x
    x = 33,249,359.23/7,781.14
  6. Step 6: Final answer
    x = 4,273.07

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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.