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Finding the Fourth Proportional to 1,202.10, 1,793.63 and 1,010.10

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Solution

The fourth proportional to 1,202.10, 1,793.63 and 1,010.10 is: 1,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.10 : 1,793.63 = 1,010.10 : x
  2. Step 2: Convert to fraction form
    1,202.10/1,793.63 = 1,010.10/x
  3. Step 3: Cross multiply
    1,202.10x = 1,793.63 × 1,010.10
  4. Step 4: Simplify right side
    1,202.10x = 1,811,740.61
  5. Step 5: Solve for x
    x = 1,811,740.61/1,202.10
  6. Step 6: Final answer
    x = 1,507.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.