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Finding the Fourth Proportional to 2,873.97, 3,973.24 and 2,430.90

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Solution

The fourth proportional to 2,873.97, 3,973.24 and 2,430.90 is: 3,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.97 : 3,973.24 = 2,430.90 : x
  2. Step 2: Convert to fraction form
    2,873.97/3,973.24 = 2,430.90/x
  3. Step 3: Cross multiply
    2,873.97x = 3,973.24 × 2,430.90
  4. Step 4: Simplify right side
    2,873.97x = 9,658,549.12
  5. Step 5: Solve for x
    x = 9,658,549.12/2,873.97
  6. Step 6: Final answer
    x = 3,360.70

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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.