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Finding the Fourth Proportional to 7,846.81, 11,769.16 and 2,915.78

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Solution

The fourth proportional to 7,846.81, 11,769.16 and 2,915.78 is: 4,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.81 : 11,769.16 = 2,915.78 : x
  2. Step 2: Convert to fraction form
    7,846.81/11,769.16 = 2,915.78/x
  3. Step 3: Cross multiply
    7,846.81x = 11,769.16 × 2,915.78
  4. Step 4: Simplify right side
    7,846.81x = 34,316,222.50
  5. Step 5: Solve for x
    x = 34,316,222.50/7,846.81
  6. Step 6: Final answer
    x = 4,373.27

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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.