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Finding the Fourth Proportional to 3,490, 4,816.22 and 1,918.20

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Solution

The fourth proportional to 3,490, 4,816.22 and 1,918.20 is: 2,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490 : 4,816.22 = 1,918.20 : x
  2. Step 2: Convert to fraction form
    3,490/4,816.22 = 1,918.20/x
  3. Step 3: Cross multiply
    3,490x = 4,816.22 × 1,918.20
  4. Step 4: Simplify right side
    3,490x = 9,238,473.20
  5. Step 5: Solve for x
    x = 9,238,473.20/3,490
  6. Step 6: Final answer
    x = 2,647.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.