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Finding the Fourth Proportional to 1,638.19, 2,259.74 and 975

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Solution

The fourth proportional to 1,638.19, 2,259.74 and 975 is: 1,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.19 : 2,259.74 = 975 : x
  2. Step 2: Convert to fraction form
    1,638.19/2,259.74 = 975/x
  3. Step 3: Cross multiply
    1,638.19x = 2,259.74 × 975
  4. Step 4: Simplify right side
    1,638.19x = 2,203,248.94
  5. Step 5: Solve for x
    x = 2,203,248.94/1,638.19
  6. Step 6: Final answer
    x = 1,344.93

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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.