Home / 4,097.04-6,141-1,631.20

Finding the Fourth Proportional to 4,097.04, 6,141 and 1,631.20

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Solution

The fourth proportional to 4,097.04, 6,141 and 1,631.20 is: 2,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.04 : 6,141 = 1,631.20 : x
  2. Step 2: Convert to fraction form
    4,097.04/6,141 = 1,631.20/x
  3. Step 3: Cross multiply
    4,097.04x = 6,141 × 1,631.20
  4. Step 4: Simplify right side
    4,097.04x = 10,017,199.20
  5. Step 5: Solve for x
    x = 10,017,199.20/4,097.04
  6. Step 6: Final answer
    x = 2,444.98

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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.