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Finding the Fourth Proportional to 1,782.94, 2,460.51 and 997.06

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Solution

The fourth proportional to 1,782.94, 2,460.51 and 997.06 is: 1,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.94 : 2,460.51 = 997.06 : x
  2. Step 2: Convert to fraction form
    1,782.94/2,460.51 = 997.06/x
  3. Step 3: Cross multiply
    1,782.94x = 2,460.51 × 997.06
  4. Step 4: Simplify right side
    1,782.94x = 2,453,276.10
  5. Step 5: Solve for x
    x = 2,453,276.10/1,782.94
  6. Step 6: Final answer
    x = 1,375.97

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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.