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Finding the Fourth Proportional to 10,006.10, 15,005.10 and 3,428.90

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Solution

The fourth proportional to 10,006.10, 15,005.10 and 3,428.90 is: 5,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.10 : 15,005.10 = 3,428.90 : x
  2. Step 2: Convert to fraction form
    10,006.10/15,005.10 = 3,428.90/x
  3. Step 3: Cross multiply
    10,006.10x = 15,005.10 × 3,428.90
  4. Step 4: Simplify right side
    10,006.10x = 51,450,987.39
  5. Step 5: Solve for x
    x = 51,450,987.39/10,006.10
  6. Step 6: Final answer
    x = 5,141.96

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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.