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Finding the Fourth Proportional to 9,009.12, 13,504.80 and 4,080

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Solution

The fourth proportional to 9,009.12, 13,504.80 and 4,080 is: 6,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.12 : 13,504.80 = 4,080 : x
  2. Step 2: Convert to fraction form
    9,009.12/13,504.80 = 4,080/x
  3. Step 3: Cross multiply
    9,009.12x = 13,504.80 × 4,080
  4. Step 4: Simplify right side
    9,009.12x = 55,099,584
  5. Step 5: Solve for x
    x = 55,099,584/9,009.12
  6. Step 6: Final answer
    x = 6,115.98

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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.