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Finding the Fourth Proportional to 7,072.76, 9,758.50 and 4,088.68

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Solution

The fourth proportional to 7,072.76, 9,758.50 and 4,088.68 is: 5,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.76 : 9,758.50 = 4,088.68 : x
  2. Step 2: Convert to fraction form
    7,072.76/9,758.50 = 4,088.68/x
  3. Step 3: Cross multiply
    7,072.76x = 9,758.50 × 4,088.68
  4. Step 4: Simplify right side
    7,072.76x = 39,899,383.78
  5. Step 5: Solve for x
    x = 39,899,383.78/7,072.76
  6. Step 6: Final answer
    x = 5,641.27

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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.