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Finding the Fourth Proportional to 7,812.65, 11,689.81 and 7,725.17

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Solution

The fourth proportional to 7,812.65, 11,689.81 and 7,725.17 is: 11,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.65 : 11,689.81 = 7,725.17 : x
  2. Step 2: Convert to fraction form
    7,812.65/11,689.81 = 7,725.17/x
  3. Step 3: Cross multiply
    7,812.65x = 11,689.81 × 7,725.17
  4. Step 4: Simplify right side
    7,812.65x = 90,305,769.52
  5. Step 5: Solve for x
    x = 90,305,769.52/7,812.65
  6. Step 6: Final answer
    x = 11,558.92

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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.