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Finding the Fourth Proportional to 11,968.20, 16,498.98 and 8,420.40

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Solution

The fourth proportional to 11,968.20, 16,498.98 and 8,420.40 is: 11,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.20 : 16,498.98 = 8,420.40 : x
  2. Step 2: Convert to fraction form
    11,968.20/16,498.98 = 8,420.40/x
  3. Step 3: Cross multiply
    11,968.20x = 16,498.98 × 8,420.40
  4. Step 4: Simplify right side
    11,968.20x = 138,928,011.19
  5. Step 5: Solve for x
    x = 138,928,011.19/11,968.20
  6. Step 6: Final answer
    x = 11,608.10

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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.