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Finding the Fourth Proportional to 9,100.64, 13,659.52 and 4,721.20

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Solution

The fourth proportional to 9,100.64, 13,659.52 and 4,721.20 is: 7,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.64 : 13,659.52 = 4,721.20 : x
  2. Step 2: Convert to fraction form
    9,100.64/13,659.52 = 4,721.20/x
  3. Step 3: Cross multiply
    9,100.64x = 13,659.52 × 4,721.20
  4. Step 4: Simplify right side
    9,100.64x = 64,489,325.82
  5. Step 5: Solve for x
    x = 64,489,325.82/9,100.64
  6. Step 6: Final answer
    x = 7,086.24

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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.