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Finding the Fourth Proportional to 11,048.80, 16,592.40 and 7,784.80

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Solution

The fourth proportional to 11,048.80, 16,592.40 and 7,784.80 is: 11,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.80 : 16,592.40 = 7,784.80 : x
  2. Step 2: Convert to fraction form
    11,048.80/16,592.40 = 7,784.80/x
  3. Step 3: Cross multiply
    11,048.80x = 16,592.40 × 7,784.80
  4. Step 4: Simplify right side
    11,048.80x = 129,168,515.52
  5. Step 5: Solve for x
    x = 129,168,515.52/11,048.80
  6. Step 6: Final answer
    x = 11,690.73

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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.