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Finding the Fourth Proportional to 1,566.32, 2,162 and 976.48

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Solution

The fourth proportional to 1,566.32, 2,162 and 976.48 is: 1,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.32 : 2,162 = 976.48 : x
  2. Step 2: Convert to fraction form
    1,566.32/2,162 = 976.48/x
  3. Step 3: Cross multiply
    1,566.32x = 2,162 × 976.48
  4. Step 4: Simplify right side
    1,566.32x = 2,111,149.76
  5. Step 5: Solve for x
    x = 2,111,149.76/1,566.32
  6. Step 6: Final answer
    x = 1,347.84

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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.