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Finding the Fourth Proportional to 2,978.67, 4,110.53 and 1,652.38

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Solution

The fourth proportional to 2,978.67, 4,110.53 and 1,652.38 is: 2,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.67 : 4,110.53 = 1,652.38 : x
  2. Step 2: Convert to fraction form
    2,978.67/4,110.53 = 1,652.38/x
  3. Step 3: Cross multiply
    2,978.67x = 4,110.53 × 1,652.38
  4. Step 4: Simplify right side
    2,978.67x = 6,792,157.56
  5. Step 5: Solve for x
    x = 6,792,157.56/2,978.67
  6. Step 6: Final answer
    x = 2,280.27

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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.