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Finding the Fourth Proportional to 4,732.77, 7,088.22 and 4,568.75

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Solution

The fourth proportional to 4,732.77, 7,088.22 and 4,568.75 is: 6,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.77 : 7,088.22 = 4,568.75 : x
  2. Step 2: Convert to fraction form
    4,732.77/7,088.22 = 4,568.75/x
  3. Step 3: Cross multiply
    4,732.77x = 7,088.22 × 4,568.75
  4. Step 4: Simplify right side
    4,732.77x = 32,384,296.26
  5. Step 5: Solve for x
    x = 32,384,296.26/4,732.77
  6. Step 6: Final answer
    x = 6,842.56

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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.