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Finding the Fourth Proportional to 2,911.57, 4,368.16 and 965.14

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Solution

The fourth proportional to 2,911.57, 4,368.16 and 965.14 is: 1,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.57 : 4,368.16 = 965.14 : x
  2. Step 2: Convert to fraction form
    2,911.57/4,368.16 = 965.14/x
  3. Step 3: Cross multiply
    2,911.57x = 4,368.16 × 965.14
  4. Step 4: Simplify right side
    2,911.57x = 4,215,885.94
  5. Step 5: Solve for x
    x = 4,215,885.94/2,911.57
  6. Step 6: Final answer
    x = 1,447.98

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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.