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Finding the Fourth Proportional to 13,887.66, 20,827.17 and 4,651.50

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Solution

The fourth proportional to 13,887.66, 20,827.17 and 4,651.50 is: 6,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.66 : 20,827.17 = 4,651.50 : x
  2. Step 2: Convert to fraction form
    13,887.66/20,827.17 = 4,651.50/x
  3. Step 3: Cross multiply
    13,887.66x = 20,827.17 × 4,651.50
  4. Step 4: Simplify right side
    13,887.66x = 96,877,581.26
  5. Step 5: Solve for x
    x = 96,877,581.26/13,887.66
  6. Step 6: Final answer
    x = 6,975.80

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1.5x scale

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.