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Finding the Fourth Proportional to 2,978.60, 4,110.48 and 1,652.31

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Solution

The fourth proportional to 2,978.60, 4,110.48 and 1,652.31 is: 2,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.60 : 4,110.48 = 1,652.31 : x
  2. Step 2: Convert to fraction form
    2,978.60/4,110.48 = 1,652.31/x
  3. Step 3: Cross multiply
    2,978.60x = 4,110.48 × 1,652.31
  4. Step 4: Simplify right side
    2,978.60x = 6,791,787.21
  5. Step 5: Solve for x
    x = 6,791,787.21/2,978.60
  6. Step 6: Final answer
    x = 2,280.20

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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.