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Finding the Fourth Proportional to 7,678.88, 11,520.24 and 3,062.24

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Solution

The fourth proportional to 7,678.88, 11,520.24 and 3,062.24 is: 4,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.88 : 11,520.24 = 3,062.24 : x
  2. Step 2: Convert to fraction form
    7,678.88/11,520.24 = 3,062.24/x
  3. Step 3: Cross multiply
    7,678.88x = 11,520.24 × 3,062.24
  4. Step 4: Simplify right side
    7,678.88x = 35,277,739.74
  5. Step 5: Solve for x
    x = 35,277,739.74/7,678.88
  6. Step 6: Final answer
    x = 4,594.13

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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.