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Finding the Fourth Proportional to 2,873.63, 3,963.70 and 2,320.06

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Solution

The fourth proportional to 2,873.63, 3,963.70 and 2,320.06 is: 3,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.63 : 3,963.70 = 2,320.06 : x
  2. Step 2: Convert to fraction form
    2,873.63/3,963.70 = 2,320.06/x
  3. Step 3: Cross multiply
    2,873.63x = 3,963.70 × 2,320.06
  4. Step 4: Simplify right side
    2,873.63x = 9,196,021.82
  5. Step 5: Solve for x
    x = 9,196,021.82/2,873.63
  6. Step 6: Final answer
    x = 3,200.14

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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.