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Finding the Fourth Proportional to 7,088.46, 9,782 and 3,901.69

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Solution

The fourth proportional to 7,088.46, 9,782 and 3,901.69 is: 5,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.46 : 9,782 = 3,901.69 : x
  2. Step 2: Convert to fraction form
    7,088.46/9,782 = 3,901.69/x
  3. Step 3: Cross multiply
    7,088.46x = 9,782 × 3,901.69
  4. Step 4: Simplify right side
    7,088.46x = 38,166,331.58
  5. Step 5: Solve for x
    x = 38,166,331.58/7,088.46
  6. Step 6: Final answer
    x = 5,384.29

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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.