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Finding the Fourth Proportional to 2,873.68, 3,980.68 and 2,815.36

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Solution

The fourth proportional to 2,873.68, 3,980.68 and 2,815.36 is: 3,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.68 : 3,980.68 = 2,815.36 : x
  2. Step 2: Convert to fraction form
    2,873.68/3,980.68 = 2,815.36/x
  3. Step 3: Cross multiply
    2,873.68x = 3,980.68 × 2,815.36
  4. Step 4: Simplify right side
    2,873.68x = 11,207,047.24
  5. Step 5: Solve for x
    x = 11,207,047.24/2,873.68
  6. Step 6: Final answer
    x = 3,899.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.