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Finding the Fourth Proportional to 1,897.28, 2,830.72 and 1,751.84

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Solution

The fourth proportional to 1,897.28, 2,830.72 and 1,751.84 is: 2,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.28 : 2,830.72 = 1,751.84 : x
  2. Step 2: Convert to fraction form
    1,897.28/2,830.72 = 1,751.84/x
  3. Step 3: Cross multiply
    1,897.28x = 2,830.72 × 1,751.84
  4. Step 4: Simplify right side
    1,897.28x = 4,958,968.52
  5. Step 5: Solve for x
    x = 4,958,968.52/1,897.28
  6. Step 6: Final answer
    x = 2,613.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.