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Finding the Fourth Proportional to 11,525.72, 15,905.63 and 6,489.95

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Solution

The fourth proportional to 11,525.72, 15,905.63 and 6,489.95 is: 8,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.72 : 15,905.63 = 6,489.95 : x
  2. Step 2: Convert to fraction form
    11,525.72/15,905.63 = 6,489.95/x
  3. Step 3: Cross multiply
    11,525.72x = 15,905.63 × 6,489.95
  4. Step 4: Simplify right side
    11,525.72x = 103,226,680.12
  5. Step 5: Solve for x
    x = 103,226,680.12/11,525.72
  6. Step 6: Final answer
    x = 8,956.21

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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.