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Finding the Fourth Proportional to 1,566.08, 2,161.40 and 902.96

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Solution

The fourth proportional to 1,566.08, 2,161.40 and 902.96 is: 1,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.08 : 2,161.40 = 902.96 : x
  2. Step 2: Convert to fraction form
    1,566.08/2,161.40 = 902.96/x
  3. Step 3: Cross multiply
    1,566.08x = 2,161.40 × 902.96
  4. Step 4: Simplify right side
    1,566.08x = 1,951,642.42
  5. Step 5: Solve for x
    x = 1,951,642.42/1,566.08
  6. Step 6: Final answer
    x = 1,246.20

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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.