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Finding the Fourth Proportional to 11,442.80, 17,164.20 and 8,985.20

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Solution

The fourth proportional to 11,442.80, 17,164.20 and 8,985.20 is: 13,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.80 : 17,164.20 = 8,985.20 : x
  2. Step 2: Convert to fraction form
    11,442.80/17,164.20 = 8,985.20/x
  3. Step 3: Cross multiply
    11,442.80x = 17,164.20 × 8,985.20
  4. Step 4: Simplify right side
    11,442.80x = 154,223,769.84
  5. Step 5: Solve for x
    x = 154,223,769.84/11,442.80
  6. Step 6: Final answer
    x = 13,477.80

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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.