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Finding the Fourth Proportional to 6,374, 9,561.36 and 2,270

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Solution

The fourth proportional to 6,374, 9,561.36 and 2,270 is: 3,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374 : 9,561.36 = 2,270 : x
  2. Step 2: Convert to fraction form
    6,374/9,561.36 = 2,270/x
  3. Step 3: Cross multiply
    6,374x = 9,561.36 × 2,270
  4. Step 4: Simplify right side
    6,374x = 21,704,287.20
  5. Step 5: Solve for x
    x = 21,704,287.20/6,374
  6. Step 6: Final answer
    x = 3,405.13

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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.