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Finding the Fourth Proportional to 8,101.68, 12,152.64 and 2,907.44

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Solution

The fourth proportional to 8,101.68, 12,152.64 and 2,907.44 is: 4,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.68 : 12,152.64 = 2,907.44 : x
  2. Step 2: Convert to fraction form
    8,101.68/12,152.64 = 2,907.44/x
  3. Step 3: Cross multiply
    8,101.68x = 12,152.64 × 2,907.44
  4. Step 4: Simplify right side
    8,101.68x = 35,333,071.64
  5. Step 5: Solve for x
    x = 35,333,071.64/8,101.68
  6. Step 6: Final answer
    x = 4,361.20

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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.