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Finding the Fourth Proportional to 1,566.40, 2,161 and 902.89

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Solution

The fourth proportional to 1,566.40, 2,161 and 902.89 is: 1,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.40 : 2,161 = 902.89 : x
  2. Step 2: Convert to fraction form
    1,566.40/2,161 = 902.89/x
  3. Step 3: Cross multiply
    1,566.40x = 2,161 × 902.89
  4. Step 4: Simplify right side
    1,566.40x = 1,951,145.29
  5. Step 5: Solve for x
    x = 1,951,145.29/1,566.40
  6. Step 6: Final answer
    x = 1,245.62

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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.