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Finding the Fourth Proportional to 2,973.54, 4,101.38 and 1,978.32

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Solution

The fourth proportional to 2,973.54, 4,101.38 and 1,978.32 is: 2,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.54 : 4,101.38 = 1,978.32 : x
  2. Step 2: Convert to fraction form
    2,973.54/4,101.38 = 1,978.32/x
  3. Step 3: Cross multiply
    2,973.54x = 4,101.38 × 1,978.32
  4. Step 4: Simplify right side
    2,973.54x = 8,113,842.08
  5. Step 5: Solve for x
    x = 8,113,842.08/2,973.54
  6. Step 6: Final answer
    x = 2,728.68

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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.