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Finding the Fourth Proportional to 1,267.61, 1,893.56 and 974.99

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Solution

The fourth proportional to 1,267.61, 1,893.56 and 974.99 is: 1,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.61 : 1,893.56 = 974.99 : x
  2. Step 2: Convert to fraction form
    1,267.61/1,893.56 = 974.99/x
  3. Step 3: Cross multiply
    1,267.61x = 1,893.56 × 974.99
  4. Step 4: Simplify right side
    1,267.61x = 1,846,201.92
  5. Step 5: Solve for x
    x = 1,846,201.92/1,267.61
  6. Step 6: Final answer
    x = 1,456.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.