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Finding the Fourth Proportional to 19,967.50, 27,565.95 and 12,011.50

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Solution

The fourth proportional to 19,967.50, 27,565.95 and 12,011.50 is: 16,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.50 : 27,565.95 = 12,011.50 : x
  2. Step 2: Convert to fraction form
    19,967.50/27,565.95 = 12,011.50/x
  3. Step 3: Cross multiply
    19,967.50x = 27,565.95 × 12,011.50
  4. Step 4: Simplify right side
    19,967.50x = 331,108,408.43
  5. Step 5: Solve for x
    x = 331,108,408.43/19,967.50
  6. Step 6: Final answer
    x = 16,582.37

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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.