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Finding the Fourth Proportional to 5,188.43, 7,781.59 and 1,900.40

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Solution

The fourth proportional to 5,188.43, 7,781.59 and 1,900.40 is: 2,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.43 : 7,781.59 = 1,900.40 : x
  2. Step 2: Convert to fraction form
    5,188.43/7,781.59 = 1,900.40/x
  3. Step 3: Cross multiply
    5,188.43x = 7,781.59 × 1,900.40
  4. Step 4: Simplify right side
    5,188.43x = 14,788,133.64
  5. Step 5: Solve for x
    x = 14,788,133.64/5,188.43
  6. Step 6: Final answer
    x = 2,850.21

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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.