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Finding the Fourth Proportional to 1,681.96, 2,321.07 and 973.79

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Solution

The fourth proportional to 1,681.96, 2,321.07 and 973.79 is: 1,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.96 : 2,321.07 = 973.79 : x
  2. Step 2: Convert to fraction form
    1,681.96/2,321.07 = 973.79/x
  3. Step 3: Cross multiply
    1,681.96x = 2,321.07 × 973.79
  4. Step 4: Simplify right side
    1,681.96x = 2,260,234.76
  5. Step 5: Solve for x
    x = 2,260,234.76/1,681.96
  6. Step 6: Final answer
    x = 1,343.81

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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.