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Finding the Fourth Proportional to 3,507.08, 5,260.62 and 909.96

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Solution

The fourth proportional to 3,507.08, 5,260.62 and 909.96 is: 1,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.08 : 5,260.62 = 909.96 : x
  2. Step 2: Convert to fraction form
    3,507.08/5,260.62 = 909.96/x
  3. Step 3: Cross multiply
    3,507.08x = 5,260.62 × 909.96
  4. Step 4: Simplify right side
    3,507.08x = 4,786,953.78
  5. Step 5: Solve for x
    x = 4,786,953.78/3,507.08
  6. Step 6: Final answer
    x = 1,364.94

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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.