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Finding the Fourth Proportional to 2,157.53, 2,978.58 and 1,450.40

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Solution

The fourth proportional to 2,157.53, 2,978.58 and 1,450.40 is: 2,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.53 : 2,978.58 = 1,450.40 : x
  2. Step 2: Convert to fraction form
    2,157.53/2,978.58 = 1,450.40/x
  3. Step 3: Cross multiply
    2,157.53x = 2,978.58 × 1,450.40
  4. Step 4: Simplify right side
    2,157.53x = 4,320,117.54
  5. Step 5: Solve for x
    x = 4,320,117.54/2,157.53
  6. Step 6: Final answer
    x = 2,002.35

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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.