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Finding the Fourth Proportional to 1,897, 2,846.40 and 1,201.72

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Solution

The fourth proportional to 1,897, 2,846.40 and 1,201.72 is: 1,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897 : 2,846.40 = 1,201.72 : x
  2. Step 2: Convert to fraction form
    1,897/2,846.40 = 1,201.72/x
  3. Step 3: Cross multiply
    1,897x = 2,846.40 × 1,201.72
  4. Step 4: Simplify right side
    1,897x = 3,420,575.81
  5. Step 5: Solve for x
    x = 3,420,575.81/1,897
  6. Step 6: Final answer
    x = 1,803.15

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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.