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Finding the Fourth Proportional to 2,157.96, 2,978.16 and 1,318.80

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Solution

The fourth proportional to 2,157.96, 2,978.16 and 1,318.80 is: 1,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.96 : 2,978.16 = 1,318.80 : x
  2. Step 2: Convert to fraction form
    2,157.96/2,978.16 = 1,318.80/x
  3. Step 3: Cross multiply
    2,157.96x = 2,978.16 × 1,318.80
  4. Step 4: Simplify right side
    2,157.96x = 3,927,597.41
  5. Step 5: Solve for x
    x = 3,927,597.41/2,157.96
  6. Step 6: Final answer
    x = 1,820.05

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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.