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Finding the Fourth Proportional to 2,935.32, 4,402.64 and 987.26

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Solution

The fourth proportional to 2,935.32, 4,402.64 and 987.26 is: 1,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.32 : 4,402.64 = 987.26 : x
  2. Step 2: Convert to fraction form
    2,935.32/4,402.64 = 987.26/x
  3. Step 3: Cross multiply
    2,935.32x = 4,402.64 × 987.26
  4. Step 4: Simplify right side
    2,935.32x = 4,346,550.37
  5. Step 5: Solve for x
    x = 4,346,550.37/2,935.32
  6. Step 6: Final answer
    x = 1,480.78

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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.