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Finding the Fourth Proportional to 2,875.52, 3,964.20 and 2,431.64

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Solution

The fourth proportional to 2,875.52, 3,964.20 and 2,431.64 is: 3,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.52 : 3,964.20 = 2,431.64 : x
  2. Step 2: Convert to fraction form
    2,875.52/3,964.20 = 2,431.64/x
  3. Step 3: Cross multiply
    2,875.52x = 3,964.20 × 2,431.64
  4. Step 4: Simplify right side
    2,875.52x = 9,639,507.29
  5. Step 5: Solve for x
    x = 9,639,507.29/2,875.52
  6. Step 6: Final answer
    x = 3,352.27

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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.