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Finding the Fourth Proportional to 4,477.64, 6,720.64 and 2,287.94

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Solution

The fourth proportional to 4,477.64, 6,720.64 and 2,287.94 is: 3,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.64 : 6,720.64 = 2,287.94 : x
  2. Step 2: Convert to fraction form
    4,477.64/6,720.64 = 2,287.94/x
  3. Step 3: Cross multiply
    4,477.64x = 6,720.64 × 2,287.94
  4. Step 4: Simplify right side
    4,477.64x = 15,376,421.08
  5. Step 5: Solve for x
    x = 15,376,421.08/4,477.64
  6. Step 6: Final answer
    x = 3,434.05

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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.