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Finding the Fourth Proportional to 2,897.72, 4,353.50 and 1,859.75

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Solution

The fourth proportional to 2,897.72, 4,353.50 and 1,859.75 is: 2,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.72 : 4,353.50 = 1,859.75 : x
  2. Step 2: Convert to fraction form
    2,897.72/4,353.50 = 1,859.75/x
  3. Step 3: Cross multiply
    2,897.72x = 4,353.50 × 1,859.75
  4. Step 4: Simplify right side
    2,897.72x = 8,096,437.16
  5. Step 5: Solve for x
    x = 8,096,437.16/2,897.72
  6. Step 6: Final answer
    x = 2,794.07

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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.