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Finding the Fourth Proportional to 7,398.64, 11,101.20 and 4,320.64

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Solution

The fourth proportional to 7,398.64, 11,101.20 and 4,320.64 is: 6,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.64 : 11,101.20 = 4,320.64 : x
  2. Step 2: Convert to fraction form
    7,398.64/11,101.20 = 4,320.64/x
  3. Step 3: Cross multiply
    7,398.64x = 11,101.20 × 4,320.64
  4. Step 4: Simplify right side
    7,398.64x = 47,964,288.77
  5. Step 5: Solve for x
    x = 47,964,288.77/7,398.64
  6. Step 6: Final answer
    x = 6,482.85

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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.