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Finding the Fourth Proportional to 11,246.80, 16,886.40 and 8,784.40

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Solution

The fourth proportional to 11,246.80, 16,886.40 and 8,784.40 is: 13,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.80 : 16,886.40 = 8,784.40 : x
  2. Step 2: Convert to fraction form
    11,246.80/16,886.40 = 8,784.40/x
  3. Step 3: Cross multiply
    11,246.80x = 16,886.40 × 8,784.40
  4. Step 4: Simplify right side
    11,246.80x = 148,336,892.16
  5. Step 5: Solve for x
    x = 148,336,892.16/11,246.80
  6. Step 6: Final answer
    x = 13,189.25

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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.