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Finding the Fourth Proportional to 7,915.20, 11,871.12 and 2,984.72

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Solution

The fourth proportional to 7,915.20, 11,871.12 and 2,984.72 is: 4,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.20 : 11,871.12 = 2,984.72 : x
  2. Step 2: Convert to fraction form
    7,915.20/11,871.12 = 2,984.72/x
  3. Step 3: Cross multiply
    7,915.20x = 11,871.12 × 2,984.72
  4. Step 4: Simplify right side
    7,915.20x = 35,431,969.29
  5. Step 5: Solve for x
    x = 35,431,969.29/7,915.20
  6. Step 6: Final answer
    x = 4,476.45

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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.