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Finding the Fourth Proportional to 5,276.64, 7,282.16 and 2,919.20

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Solution

The fourth proportional to 5,276.64, 7,282.16 and 2,919.20 is: 4,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.64 : 7,282.16 = 2,919.20 : x
  2. Step 2: Convert to fraction form
    5,276.64/7,282.16 = 2,919.20/x
  3. Step 3: Cross multiply
    5,276.64x = 7,282.16 × 2,919.20
  4. Step 4: Simplify right side
    5,276.64x = 21,258,081.47
  5. Step 5: Solve for x
    x = 21,258,081.47/5,276.64
  6. Step 6: Final answer
    x = 4,028.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.