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Finding the Fourth Proportional to 2,907.64, 4,361.58 and 1,520.20

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Solution

The fourth proportional to 2,907.64, 4,361.58 and 1,520.20 is: 2,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.64 : 4,361.58 = 1,520.20 : x
  2. Step 2: Convert to fraction form
    2,907.64/4,361.58 = 1,520.20/x
  3. Step 3: Cross multiply
    2,907.64x = 4,361.58 × 1,520.20
  4. Step 4: Simplify right side
    2,907.64x = 6,630,473.92
  5. Step 5: Solve for x
    x = 6,630,473.92/2,907.64
  6. Step 6: Final answer
    x = 2,280.36

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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.