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Finding the Fourth Proportional to 6,440.80, 9,661.20 and 5,784.70

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Solution

The fourth proportional to 6,440.80, 9,661.20 and 5,784.70 is: 8,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.80 : 9,661.20 = 5,784.70 : x
  2. Step 2: Convert to fraction form
    6,440.80/9,661.20 = 5,784.70/x
  3. Step 3: Cross multiply
    6,440.80x = 9,661.20 × 5,784.70
  4. Step 4: Simplify right side
    6,440.80x = 55,887,143.64
  5. Step 5: Solve for x
    x = 55,887,143.64/6,440.80
  6. Step 6: Final answer
    x = 8,677.05

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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.