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Finding the Fourth Proportional to 2,263.72, 3,389.74 and 1,897.56

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Solution

The fourth proportional to 2,263.72, 3,389.74 and 1,897.56 is: 2,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.72 : 3,389.74 = 1,897.56 : x
  2. Step 2: Convert to fraction form
    2,263.72/3,389.74 = 1,897.56/x
  3. Step 3: Cross multiply
    2,263.72x = 3,389.74 × 1,897.56
  4. Step 4: Simplify right side
    2,263.72x = 6,432,235.03
  5. Step 5: Solve for x
    x = 6,432,235.03/2,263.72
  6. Step 6: Final answer
    x = 2,841.44

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1.5x scale

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.