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Finding the Fourth Proportional to 2,909.08, 4,362.50 and 960.76

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Solution

The fourth proportional to 2,909.08, 4,362.50 and 960.76 is: 1,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.08 : 4,362.50 = 960.76 : x
  2. Step 2: Convert to fraction form
    2,909.08/4,362.50 = 960.76/x
  3. Step 3: Cross multiply
    2,909.08x = 4,362.50 × 960.76
  4. Step 4: Simplify right side
    2,909.08x = 4,191,315.50
  5. Step 5: Solve for x
    x = 4,191,315.50/2,909.08
  6. Step 6: Final answer
    x = 1,440.77

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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.