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Finding the Fourth Proportional to 11,148.80, 16,701.60 and 6,209.60

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Solution

The fourth proportional to 11,148.80, 16,701.60 and 6,209.60 is: 9,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.80 : 16,701.60 = 6,209.60 : x
  2. Step 2: Convert to fraction form
    11,148.80/16,701.60 = 6,209.60/x
  3. Step 3: Cross multiply
    11,148.80x = 16,701.60 × 6,209.60
  4. Step 4: Simplify right side
    11,148.80x = 103,710,255.36
  5. Step 5: Solve for x
    x = 103,710,255.36/11,148.80
  6. Step 6: Final answer
    x = 9,302.37

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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.