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Finding the Fourth Proportional to 8,912.64, 12,299.64 and 5,774.28

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Solution

The fourth proportional to 8,912.64, 12,299.64 and 5,774.28 is: 7,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.64 : 12,299.64 = 5,774.28 : x
  2. Step 2: Convert to fraction form
    8,912.64/12,299.64 = 5,774.28/x
  3. Step 3: Cross multiply
    8,912.64x = 12,299.64 × 5,774.28
  4. Step 4: Simplify right side
    8,912.64x = 71,021,565.26
  5. Step 5: Solve for x
    x = 71,021,565.26/8,912.64
  6. Step 6: Final answer
    x = 7,968.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.