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Finding the Fourth Proportional to 2,913.40, 4,369.28 and 965.34

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Solution

The fourth proportional to 2,913.40, 4,369.28 and 965.34 is: 1,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.40 : 4,369.28 = 965.34 : x
  2. Step 2: Convert to fraction form
    2,913.40/4,369.28 = 965.34/x
  3. Step 3: Cross multiply
    2,913.40x = 4,369.28 × 965.34
  4. Step 4: Simplify right side
    2,913.40x = 4,217,840.76
  5. Step 5: Solve for x
    x = 4,217,840.76/2,913.40
  6. Step 6: Final answer
    x = 1,447.74

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1.5x scale

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.