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Finding the Fourth Proportional to 19,572.16, 27,018 and 12,019.72

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Solution

The fourth proportional to 19,572.16, 27,018 and 12,019.72 is: 16,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,572.16 : 27,018 = 12,019.72 : x
  2. Step 2: Convert to fraction form
    19,572.16/27,018 = 12,019.72/x
  3. Step 3: Cross multiply
    19,572.16x = 27,018 × 12,019.72
  4. Step 4: Simplify right side
    19,572.16x = 324,748,794.96
  5. Step 5: Solve for x
    x = 324,748,794.96/19,572.16
  6. Step 6: Final answer
    x = 16,592.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.