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Finding the Fourth Proportional to 5,250.94, 7,877.63 and 1,788.19

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Solution

The fourth proportional to 5,250.94, 7,877.63 and 1,788.19 is: 2,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.94 : 7,877.63 = 1,788.19 : x
  2. Step 2: Convert to fraction form
    5,250.94/7,877.63 = 1,788.19/x
  3. Step 3: Cross multiply
    5,250.94x = 7,877.63 × 1,788.19
  4. Step 4: Simplify right side
    5,250.94x = 14,086,683.97
  5. Step 5: Solve for x
    x = 14,086,683.97/5,250.94
  6. Step 6: Final answer
    x = 2,682.70

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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.