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Finding the Fourth Proportional to 7,805.92, 11,709.52 and 2,612.16

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Solution

The fourth proportional to 7,805.92, 11,709.52 and 2,612.16 is: 3,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.92 : 11,709.52 = 2,612.16 : x
  2. Step 2: Convert to fraction form
    7,805.92/11,709.52 = 2,612.16/x
  3. Step 3: Cross multiply
    7,805.92x = 11,709.52 × 2,612.16
  4. Step 4: Simplify right side
    7,805.92x = 30,587,139.76
  5. Step 5: Solve for x
    x = 30,587,139.76/7,805.92
  6. Step 6: Final answer
    x = 3,918.45

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1.5x scale

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.