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Finding the Fourth Proportional to 6,915.19, 9,466.62 and 6,865.78

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Solution

The fourth proportional to 6,915.19, 9,466.62 and 6,865.78 is: 9,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.19 : 9,466.62 = 6,865.78 : x
  2. Step 2: Convert to fraction form
    6,915.19/9,466.62 = 6,865.78/x
  3. Step 3: Cross multiply
    6,915.19x = 9,466.62 × 6,865.78
  4. Step 4: Simplify right side
    6,915.19x = 64,995,695.93
  5. Step 5: Solve for x
    x = 64,995,695.93/6,915.19
  6. Step 6: Final answer
    x = 9,398.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.