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Finding the Fourth Proportional to 1,904, 2,857.20 and 749.72

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Solution

The fourth proportional to 1,904, 2,857.20 and 749.72 is: 1,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904 : 2,857.20 = 749.72 : x
  2. Step 2: Convert to fraction form
    1,904/2,857.20 = 749.72/x
  3. Step 3: Cross multiply
    1,904x = 2,857.20 × 749.72
  4. Step 4: Simplify right side
    1,904x = 2,142,099.98
  5. Step 5: Solve for x
    x = 2,142,099.98/1,904
  6. Step 6: Final answer
    x = 1,125.05

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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.