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Finding the Fourth Proportional to 10,078, 15,120.18 and 4,536.10

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Solution

The fourth proportional to 10,078, 15,120.18 and 4,536.10 is: 6,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078 : 15,120.18 = 4,536.10 : x
  2. Step 2: Convert to fraction form
    10,078/15,120.18 = 4,536.10/x
  3. Step 3: Cross multiply
    10,078x = 15,120.18 × 4,536.10
  4. Step 4: Simplify right side
    10,078x = 68,586,648.50
  5. Step 5: Solve for x
    x = 68,586,648.50/10,078
  6. Step 6: Final answer
    x = 6,805.58

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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.