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Finding the Fourth Proportional to 10,438.84, 15,640.05 and 8,695.06

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Solution

The fourth proportional to 10,438.84, 15,640.05 and 8,695.06 is: 13,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.84 : 15,640.05 = 8,695.06 : x
  2. Step 2: Convert to fraction form
    10,438.84/15,640.05 = 8,695.06/x
  3. Step 3: Cross multiply
    10,438.84x = 15,640.05 × 8,695.06
  4. Step 4: Simplify right side
    10,438.84x = 135,991,173.15
  5. Step 5: Solve for x
    x = 135,991,173.15/10,438.84
  6. Step 6: Final answer
    x = 13,027.42

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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.