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Finding the Fourth Proportional to 5,312.81, 7,961.64 and 3,915.15

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Solution

The fourth proportional to 5,312.81, 7,961.64 and 3,915.15 is: 5,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.81 : 7,961.64 = 3,915.15 : x
  2. Step 2: Convert to fraction form
    5,312.81/7,961.64 = 3,915.15/x
  3. Step 3: Cross multiply
    5,312.81x = 7,961.64 × 3,915.15
  4. Step 4: Simplify right side
    5,312.81x = 31,171,014.85
  5. Step 5: Solve for x
    x = 31,171,014.85/5,312.81
  6. Step 6: Final answer
    x = 5,867.15

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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.