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Finding the Fourth Proportional to 3,275.40, 4,913.28 and 935.23

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Solution

The fourth proportional to 3,275.40, 4,913.28 and 935.23 is: 1,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.40 : 4,913.28 = 935.23 : x
  2. Step 2: Convert to fraction form
    3,275.40/4,913.28 = 935.23/x
  3. Step 3: Cross multiply
    3,275.40x = 4,913.28 × 935.23
  4. Step 4: Simplify right side
    3,275.40x = 4,595,027.66
  5. Step 5: Solve for x
    x = 4,595,027.66/3,275.40
  6. Step 6: Final answer
    x = 1,402.89

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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.