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Finding the Fourth Proportional to 10,018, 15,018.72 and 4,178.80

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Solution

The fourth proportional to 10,018, 15,018.72 and 4,178.80 is: 6,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018 : 15,018.72 = 4,178.80 : x
  2. Step 2: Convert to fraction form
    10,018/15,018.72 = 4,178.80/x
  3. Step 3: Cross multiply
    10,018x = 15,018.72 × 4,178.80
  4. Step 4: Simplify right side
    10,018x = 62,760,227.14
  5. Step 5: Solve for x
    x = 62,760,227.14/10,018
  6. Step 6: Final answer
    x = 6,264.75

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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.