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Finding the Fourth Proportional to 6,678.90, 9,207.81 and 5,629.14

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Solution

The fourth proportional to 6,678.90, 9,207.81 and 5,629.14 is: 7,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.90 : 9,207.81 = 5,629.14 : x
  2. Step 2: Convert to fraction form
    6,678.90/9,207.81 = 5,629.14/x
  3. Step 3: Cross multiply
    6,678.90x = 9,207.81 × 5,629.14
  4. Step 4: Simplify right side
    6,678.90x = 51,832,051.58
  5. Step 5: Solve for x
    x = 51,832,051.58/6,678.90
  6. Step 6: Final answer
    x = 7,760.57

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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.