Home / 2,897.30-4,346.09-923.14

Finding the Fourth Proportional to 2,897.30, 4,346.09 and 923.14

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Solution

The fourth proportional to 2,897.30, 4,346.09 and 923.14 is: 1,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.30 : 4,346.09 = 923.14 : x
  2. Step 2: Convert to fraction form
    2,897.30/4,346.09 = 923.14/x
  3. Step 3: Cross multiply
    2,897.30x = 4,346.09 × 923.14
  4. Step 4: Simplify right side
    2,897.30x = 4,012,049.52
  5. Step 5: Solve for x
    x = 4,012,049.52/2,897.30
  6. Step 6: Final answer
    x = 1,384.76

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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.