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Finding the Fourth Proportional to 6,585.20, 9,865.80 and 5,207.60

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Solution

The fourth proportional to 6,585.20, 9,865.80 and 5,207.60 is: 7,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.20 : 9,865.80 = 5,207.60 : x
  2. Step 2: Convert to fraction form
    6,585.20/9,865.80 = 5,207.60/x
  3. Step 3: Cross multiply
    6,585.20x = 9,865.80 × 5,207.60
  4. Step 4: Simplify right side
    6,585.20x = 51,377,140.08
  5. Step 5: Solve for x
    x = 51,377,140.08/6,585.20
  6. Step 6: Final answer
    x = 7,801.91

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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.