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Finding the Fourth Proportional to 1,561.96, 2,156.62 and 973

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Solution

The fourth proportional to 1,561.96, 2,156.62 and 973 is: 1,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.96 : 2,156.62 = 973 : x
  2. Step 2: Convert to fraction form
    1,561.96/2,156.62 = 973/x
  3. Step 3: Cross multiply
    1,561.96x = 2,156.62 × 973
  4. Step 4: Simplify right side
    1,561.96x = 2,098,391.26
  5. Step 5: Solve for x
    x = 2,098,391.26/1,561.96
  6. Step 6: Final answer
    x = 1,343.43

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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.