Home / 1,523.60-2,103.81-964.97

Finding the Fourth Proportional to 1,523.60, 2,103.81 and 964.97

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Solution

The fourth proportional to 1,523.60, 2,103.81 and 964.97 is: 1,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.60 : 2,103.81 = 964.97 : x
  2. Step 2: Convert to fraction form
    1,523.60/2,103.81 = 964.97/x
  3. Step 3: Cross multiply
    1,523.60x = 2,103.81 × 964.97
  4. Step 4: Simplify right side
    1,523.60x = 2,030,113.54
  5. Step 5: Solve for x
    x = 2,030,113.54/1,523.60
  6. Step 6: Final answer
    x = 1,332.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.