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Finding the Fourth Proportional to 2,210, 3,051.96 and 1,463.60

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Solution

The fourth proportional to 2,210, 3,051.96 and 1,463.60 is: 2,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210 : 3,051.96 = 1,463.60 : x
  2. Step 2: Convert to fraction form
    2,210/3,051.96 = 1,463.60/x
  3. Step 3: Cross multiply
    2,210x = 3,051.96 × 1,463.60
  4. Step 4: Simplify right side
    2,210x = 4,466,848.66
  5. Step 5: Solve for x
    x = 4,466,848.66/2,210
  6. Step 6: Final answer
    x = 2,021.20

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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.