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Finding the Fourth Proportional to 7,784.88, 11,678.96 and 2,520.16

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Solution

The fourth proportional to 7,784.88, 11,678.96 and 2,520.16 is: 3,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.88 : 11,678.96 = 2,520.16 : x
  2. Step 2: Convert to fraction form
    7,784.88/11,678.96 = 2,520.16/x
  3. Step 3: Cross multiply
    7,784.88x = 11,678.96 × 2,520.16
  4. Step 4: Simplify right side
    7,784.88x = 29,432,847.83
  5. Step 5: Solve for x
    x = 29,432,847.83/7,784.88
  6. Step 6: Final answer
    x = 3,780.77

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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.