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Finding the Fourth Proportional to 7,817.42, 11,725.74 and 2,886.74

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Solution

The fourth proportional to 7,817.42, 11,725.74 and 2,886.74 is: 4,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.42 : 11,725.74 = 2,886.74 : x
  2. Step 2: Convert to fraction form
    7,817.42/11,725.74 = 2,886.74/x
  3. Step 3: Cross multiply
    7,817.42x = 11,725.74 × 2,886.74
  4. Step 4: Simplify right side
    7,817.42x = 33,849,162.69
  5. Step 5: Solve for x
    x = 33,849,162.69/7,817.42
  6. Step 6: Final answer
    x = 4,329.97

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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.