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Finding the Fourth Proportional to 1,673.50, 2,309.98 and 974.74

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Solution

The fourth proportional to 1,673.50, 2,309.98 and 974.74 is: 1,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.50 : 2,309.98 = 974.74 : x
  2. Step 2: Convert to fraction form
    1,673.50/2,309.98 = 974.74/x
  3. Step 3: Cross multiply
    1,673.50x = 2,309.98 × 974.74
  4. Step 4: Simplify right side
    1,673.50x = 2,251,629.91
  5. Step 5: Solve for x
    x = 2,251,629.91/1,673.50
  6. Step 6: Final answer
    x = 1,345.46

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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.