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Finding the Fourth Proportional to 7,088.82, 9,782.96 and 3,945.08

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Solution

The fourth proportional to 7,088.82, 9,782.96 and 3,945.08 is: 5,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.82 : 9,782.96 = 3,945.08 : x
  2. Step 2: Convert to fraction form
    7,088.82/9,782.96 = 3,945.08/x
  3. Step 3: Cross multiply
    7,088.82x = 9,782.96 × 3,945.08
  4. Step 4: Simplify right side
    7,088.82x = 38,594,491.20
  5. Step 5: Solve for x
    x = 38,594,491.20/7,088.82
  6. Step 6: Final answer
    x = 5,444.42

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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.