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Finding the Fourth Proportional to 10,141.80, 15,200.55 and 5,208.90

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Solution

The fourth proportional to 10,141.80, 15,200.55 and 5,208.90 is: 7,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.80 : 15,200.55 = 5,208.90 : x
  2. Step 2: Convert to fraction form
    10,141.80/15,200.55 = 5,208.90/x
  3. Step 3: Cross multiply
    10,141.80x = 15,200.55 × 5,208.90
  4. Step 4: Simplify right side
    10,141.80x = 79,178,144.90
  5. Step 5: Solve for x
    x = 79,178,144.90/10,141.80
  6. Step 6: Final answer
    x = 7,807.11

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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.