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Finding the Fourth Proportional to 10,135.04, 15,202.56 and 3,209

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Solution

The fourth proportional to 10,135.04, 15,202.56 and 3,209 is: 4,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.04 : 15,202.56 = 3,209 : x
  2. Step 2: Convert to fraction form
    10,135.04/15,202.56 = 3,209/x
  3. Step 3: Cross multiply
    10,135.04x = 15,202.56 × 3,209
  4. Step 4: Simplify right side
    10,135.04x = 48,785,015.04
  5. Step 5: Solve for x
    x = 48,785,015.04/10,135.04
  6. Step 6: Final answer
    x = 4,813.50

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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.