Home / 3,164-4,748.16-2,304.32

Finding the Fourth Proportional to 3,164, 4,748.16 and 2,304.32

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Solution

The fourth proportional to 3,164, 4,748.16 and 2,304.32 is: 3,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164 : 4,748.16 = 2,304.32 : x
  2. Step 2: Convert to fraction form
    3,164/4,748.16 = 2,304.32/x
  3. Step 3: Cross multiply
    3,164x = 4,748.16 × 2,304.32
  4. Step 4: Simplify right side
    3,164x = 10,941,280.05
  5. Step 5: Solve for x
    x = 10,941,280.05/3,164
  6. Step 6: Final answer
    x = 3,458.05

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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.