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Finding the Fourth Proportional to 5,263.76, 7,887 and 1,799.12

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Solution

The fourth proportional to 5,263.76, 7,887 and 1,799.12 is: 2,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.76 : 7,887 = 1,799.12 : x
  2. Step 2: Convert to fraction form
    5,263.76/7,887 = 1,799.12/x
  3. Step 3: Cross multiply
    5,263.76x = 7,887 × 1,799.12
  4. Step 4: Simplify right side
    5,263.76x = 14,189,659.44
  5. Step 5: Solve for x
    x = 14,189,659.44/5,263.76
  6. Step 6: Final answer
    x = 2,695.73

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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.