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Finding the Fourth Proportional to 1,566.14, 2,161.50 and 902.86

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Solution

The fourth proportional to 1,566.14, 2,161.50 and 902.86 is: 1,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.14 : 2,161.50 = 902.86 : x
  2. Step 2: Convert to fraction form
    1,566.14/2,161.50 = 902.86/x
  3. Step 3: Cross multiply
    1,566.14x = 2,161.50 × 902.86
  4. Step 4: Simplify right side
    1,566.14x = 1,951,531.89
  5. Step 5: Solve for x
    x = 1,951,531.89/1,566.14
  6. Step 6: Final answer
    x = 1,246.08

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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.