Home / 1,732.24-2,390.50-946.30

Finding the Fourth Proportional to 1,732.24, 2,390.50 and 946.30

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Solution

The fourth proportional to 1,732.24, 2,390.50 and 946.30 is: 1,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.24 : 2,390.50 = 946.30 : x
  2. Step 2: Convert to fraction form
    1,732.24/2,390.50 = 946.30/x
  3. Step 3: Cross multiply
    1,732.24x = 2,390.50 × 946.30
  4. Step 4: Simplify right side
    1,732.24x = 2,262,130.15
  5. Step 5: Solve for x
    x = 2,262,130.15/1,732.24
  6. Step 6: Final answer
    x = 1,305.90

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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.