Home / 2,897.12-4,346.28-949.16

Finding the Fourth Proportional to 2,897.12, 4,346.28 and 949.16

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Solution

The fourth proportional to 2,897.12, 4,346.28 and 949.16 is: 1,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.12 : 4,346.28 = 949.16 : x
  2. Step 2: Convert to fraction form
    2,897.12/4,346.28 = 949.16/x
  3. Step 3: Cross multiply
    2,897.12x = 4,346.28 × 949.16
  4. Step 4: Simplify right side
    2,897.12x = 4,125,315.12
  5. Step 5: Solve for x
    x = 4,125,315.12/2,897.12
  6. Step 6: Final answer
    x = 1,423.94

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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.