Home / 7,784.95-11,680.84-2,856

Finding the Fourth Proportional to 7,784.95, 11,680.84 and 2,856

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Solution

The fourth proportional to 7,784.95, 11,680.84 and 2,856 is: 4,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.95 : 11,680.84 = 2,856 : x
  2. Step 2: Convert to fraction form
    7,784.95/11,680.84 = 2,856/x
  3. Step 3: Cross multiply
    7,784.95x = 11,680.84 × 2,856
  4. Step 4: Simplify right side
    7,784.95x = 33,360,479.04
  5. Step 5: Solve for x
    x = 33,360,479.04/7,784.95
  6. Step 6: Final answer
    x = 4,285.25

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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.