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Finding the Fourth Proportional to 5,175.43, 7,763.05 and 1,888.50

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Solution

The fourth proportional to 5,175.43, 7,763.05 and 1,888.50 is: 2,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.43 : 7,763.05 = 1,888.50 : x
  2. Step 2: Convert to fraction form
    5,175.43/7,763.05 = 1,888.50/x
  3. Step 3: Cross multiply
    5,175.43x = 7,763.05 × 1,888.50
  4. Step 4: Simplify right side
    5,175.43x = 14,660,519.93
  5. Step 5: Solve for x
    x = 14,660,519.93/5,175.43
  6. Step 6: Final answer
    x = 2,832.72

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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.