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Finding the Fourth Proportional to 13,252, 19,878.48 and 4,018

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Solution

The fourth proportional to 13,252, 19,878.48 and 4,018 is: 6,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252 : 19,878.48 = 4,018 : x
  2. Step 2: Convert to fraction form
    13,252/19,878.48 = 4,018/x
  3. Step 3: Cross multiply
    13,252x = 19,878.48 × 4,018
  4. Step 4: Simplify right side
    13,252x = 79,871,732.64
  5. Step 5: Solve for x
    x = 79,871,732.64/13,252
  6. Step 6: Final answer
    x = 6,027.15

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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.