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Finding the Fourth Proportional to 11,969.70, 16,501.08 and 8,421.90

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Solution

The fourth proportional to 11,969.70, 16,501.08 and 8,421.90 is: 11,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.70 : 16,501.08 = 8,421.90 : x
  2. Step 2: Convert to fraction form
    11,969.70/16,501.08 = 8,421.90/x
  3. Step 3: Cross multiply
    11,969.70x = 16,501.08 × 8,421.90
  4. Step 4: Simplify right side
    11,969.70x = 138,970,445.65
  5. Step 5: Solve for x
    x = 138,970,445.65/11,969.70
  6. Step 6: Final answer
    x = 11,610.19

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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.