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Finding the Fourth Proportional to 11,918.80, 16,447.08 and 7,440.40

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Solution

The fourth proportional to 11,918.80, 16,447.08 and 7,440.40 is: 10,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.80 : 16,447.08 = 7,440.40 : x
  2. Step 2: Convert to fraction form
    11,918.80/16,447.08 = 7,440.40/x
  3. Step 3: Cross multiply
    11,918.80x = 16,447.08 × 7,440.40
  4. Step 4: Simplify right side
    11,918.80x = 122,372,854.03
  5. Step 5: Solve for x
    x = 122,372,854.03/11,918.80
  6. Step 6: Final answer
    x = 10,267.21

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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.