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Finding the Fourth Proportional to 2,409.87, 3,612.36 and 948.45

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Solution

The fourth proportional to 2,409.87, 3,612.36 and 948.45 is: 1,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.87 : 3,612.36 = 948.45 : x
  2. Step 2: Convert to fraction form
    2,409.87/3,612.36 = 948.45/x
  3. Step 3: Cross multiply
    2,409.87x = 3,612.36 × 948.45
  4. Step 4: Simplify right side
    2,409.87x = 3,426,142.84
  5. Step 5: Solve for x
    x = 3,426,142.84/2,409.87
  6. Step 6: Final answer
    x = 1,421.71

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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.