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Finding the Fourth Proportional to 7,963.40, 11,915.08 and 7,155

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Solution

The fourth proportional to 7,963.40, 11,915.08 and 7,155 is: 10,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.40 : 11,915.08 = 7,155 : x
  2. Step 2: Convert to fraction form
    7,963.40/11,915.08 = 7,155/x
  3. Step 3: Cross multiply
    7,963.40x = 11,915.08 × 7,155
  4. Step 4: Simplify right side
    7,963.40x = 85,252,397.40
  5. Step 5: Solve for x
    x = 85,252,397.40/7,963.40
  6. Step 6: Final answer
    x = 10,705.53

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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.