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Finding the Fourth Proportional to 2,652.31, 3,978.47 and 897.33

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Solution

The fourth proportional to 2,652.31, 3,978.47 and 897.33 is: 1,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.31 : 3,978.47 = 897.33 : x
  2. Step 2: Convert to fraction form
    2,652.31/3,978.47 = 897.33/x
  3. Step 3: Cross multiply
    2,652.31x = 3,978.47 × 897.33
  4. Step 4: Simplify right side
    2,652.31x = 3,570,017.65
  5. Step 5: Solve for x
    x = 3,570,017.65/2,652.31
  6. Step 6: Final answer
    x = 1,346.00

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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.