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Finding the Fourth Proportional to 2,354.79, 3,532.64 and 949.32

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Solution

The fourth proportional to 2,354.79, 3,532.64 and 949.32 is: 1,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.79 : 3,532.64 = 949.32 : x
  2. Step 2: Convert to fraction form
    2,354.79/3,532.64 = 949.32/x
  3. Step 3: Cross multiply
    2,354.79x = 3,532.64 × 949.32
  4. Step 4: Simplify right side
    2,354.79x = 3,353,601.06
  5. Step 5: Solve for x
    x = 3,353,601.06/2,354.79
  6. Step 6: Final answer
    x = 1,424.16

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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.