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Finding the Fourth Proportional to 10,135.78, 15,203.88 and 4,588.12

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Solution

The fourth proportional to 10,135.78, 15,203.88 and 4,588.12 is: 6,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.78 : 15,203.88 = 4,588.12 : x
  2. Step 2: Convert to fraction form
    10,135.78/15,203.88 = 4,588.12/x
  3. Step 3: Cross multiply
    10,135.78x = 15,203.88 × 4,588.12
  4. Step 4: Simplify right side
    10,135.78x = 69,757,225.91
  5. Step 5: Solve for x
    x = 69,757,225.91/10,135.78
  6. Step 6: Final answer
    x = 6,882.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.