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Finding the Fourth Proportional to 1,566.34, 2,161.56 and 867.76

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Solution

The fourth proportional to 1,566.34, 2,161.56 and 867.76 is: 1,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.34 : 2,161.56 = 867.76 : x
  2. Step 2: Convert to fraction form
    1,566.34/2,161.56 = 867.76/x
  3. Step 3: Cross multiply
    1,566.34x = 2,161.56 × 867.76
  4. Step 4: Simplify right side
    1,566.34x = 1,875,715.31
  5. Step 5: Solve for x
    x = 1,875,715.31/1,566.34
  6. Step 6: Final answer
    x = 1,197.51

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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.