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Finding the Fourth Proportional to 5,208.72, 7,813.08 and 2,287.05

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Solution

The fourth proportional to 5,208.72, 7,813.08 and 2,287.05 is: 3,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.72 : 7,813.08 = 2,287.05 : x
  2. Step 2: Convert to fraction form
    5,208.72/7,813.08 = 2,287.05/x
  3. Step 3: Cross multiply
    5,208.72x = 7,813.08 × 2,287.05
  4. Step 4: Simplify right side
    5,208.72x = 17,868,904.61
  5. Step 5: Solve for x
    x = 17,868,904.61/5,208.72
  6. Step 6: Final answer
    x = 3,430.58

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Double scale
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Similar ratio
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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.