Home / 2,678.64-4,011.84-2,089.08

Finding the Fourth Proportional to 2,678.64, 4,011.84 and 2,089.08

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Solution

The fourth proportional to 2,678.64, 4,011.84 and 2,089.08 is: 3,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.64 : 4,011.84 = 2,089.08 : x
  2. Step 2: Convert to fraction form
    2,678.64/4,011.84 = 2,089.08/x
  3. Step 3: Cross multiply
    2,678.64x = 4,011.84 × 2,089.08
  4. Step 4: Simplify right side
    2,678.64x = 8,381,054.71
  5. Step 5: Solve for x
    x = 8,381,054.71/2,678.64
  6. Step 6: Final answer
    x = 3,128.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.