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Finding the Fourth Proportional to 5,210.70, 7,816.05 and 2,613.03

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Solution

The fourth proportional to 5,210.70, 7,816.05 and 2,613.03 is: 3,919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.70 : 7,816.05 = 2,613.03 : x
  2. Step 2: Convert to fraction form
    5,210.70/7,816.05 = 2,613.03/x
  3. Step 3: Cross multiply
    5,210.70x = 7,816.05 × 2,613.03
  4. Step 4: Simplify right side
    5,210.70x = 20,423,573.13
  5. Step 5: Solve for x
    x = 20,423,573.13/5,210.70
  6. Step 6: Final answer
    x = 3,919.55

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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.