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Finding the Fourth Proportional to 14,404.50, 19,878.21 and 8,117.10

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Solution

The fourth proportional to 14,404.50, 19,878.21 and 8,117.10 is: 11,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.50 : 19,878.21 = 8,117.10 : x
  2. Step 2: Convert to fraction form
    14,404.50/19,878.21 = 8,117.10/x
  3. Step 3: Cross multiply
    14,404.50x = 19,878.21 × 8,117.10
  4. Step 4: Simplify right side
    14,404.50x = 161,353,418.39
  5. Step 5: Solve for x
    x = 161,353,418.39/14,404.50
  6. Step 6: Final answer
    x = 11,201.60

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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.