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Finding the Fourth Proportional to 14,416.71, 19,878.98 and 11,821.77

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Solution

The fourth proportional to 14,416.71, 19,878.98 and 11,821.77 is: 16,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.71 : 19,878.98 = 11,821.77 : x
  2. Step 2: Convert to fraction form
    14,416.71/19,878.98 = 11,821.77/x
  3. Step 3: Cross multiply
    14,416.71x = 19,878.98 × 11,821.77
  4. Step 4: Simplify right side
    14,416.71x = 235,004,729.39
  5. Step 5: Solve for x
    x = 235,004,729.39/14,416.71
  6. Step 6: Final answer
    x = 16,300.86

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1.5x scale

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.