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Finding the Fourth Proportional to 2,006.55, 2,770.13 and 1,210.02

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Solution

The fourth proportional to 2,006.55, 2,770.13 and 1,210.02 is: 1,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.55 : 2,770.13 = 1,210.02 : x
  2. Step 2: Convert to fraction form
    2,006.55/2,770.13 = 1,210.02/x
  3. Step 3: Cross multiply
    2,006.55x = 2,770.13 × 1,210.02
  4. Step 4: Simplify right side
    2,006.55x = 3,351,905.34
  5. Step 5: Solve for x
    x = 3,351,905.34/2,006.55
  6. Step 6: Final answer
    x = 1,670.48

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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.