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Finding the Fourth Proportional to 2,892.08, 3,993 and 1,897.40

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Solution

The fourth proportional to 2,892.08, 3,993 and 1,897.40 is: 2,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.08 : 3,993 = 1,897.40 : x
  2. Step 2: Convert to fraction form
    2,892.08/3,993 = 1,897.40/x
  3. Step 3: Cross multiply
    2,892.08x = 3,993 × 1,897.40
  4. Step 4: Simplify right side
    2,892.08x = 7,576,318.20
  5. Step 5: Solve for x
    x = 7,576,318.20/2,892.08
  6. Step 6: Final answer
    x = 2,619.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.