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Finding the Fourth Proportional to 10,136.54, 15,204.81 and 3,210.50

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Solution

The fourth proportional to 10,136.54, 15,204.81 and 3,210.50 is: 4,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.54 : 15,204.81 = 3,210.50 : x
  2. Step 2: Convert to fraction form
    10,136.54/15,204.81 = 3,210.50/x
  3. Step 3: Cross multiply
    10,136.54x = 15,204.81 × 3,210.50
  4. Step 4: Simplify right side
    10,136.54x = 48,815,042.51
  5. Step 5: Solve for x
    x = 48,815,042.51/10,136.54
  6. Step 6: Final answer
    x = 4,815.75

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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.