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Finding the Fourth Proportional to 5,689.76, 7,847.22 and 4,777.75

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Solution

The fourth proportional to 5,689.76, 7,847.22 and 4,777.75 is: 6,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.76 : 7,847.22 = 4,777.75 : x
  2. Step 2: Convert to fraction form
    5,689.76/7,847.22 = 4,777.75/x
  3. Step 3: Cross multiply
    5,689.76x = 7,847.22 × 4,777.75
  4. Step 4: Simplify right side
    5,689.76x = 37,492,055.36
  5. Step 5: Solve for x
    x = 37,492,055.36/5,689.76
  6. Step 6: Final answer
    x = 6,589.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.