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Finding the Fourth Proportional to 9,009.14, 13,509.72 and 4,078.58

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Solution

The fourth proportional to 9,009.14, 13,509.72 and 4,078.58 is: 6,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.14 : 13,509.72 = 4,078.58 : x
  2. Step 2: Convert to fraction form
    9,009.14/13,509.72 = 4,078.58/x
  3. Step 3: Cross multiply
    9,009.14x = 13,509.72 × 4,078.58
  4. Step 4: Simplify right side
    9,009.14x = 55,100,473.80
  5. Step 5: Solve for x
    x = 55,100,473.80/9,009.14
  6. Step 6: Final answer
    x = 6,116.06

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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.