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Finding the Fourth Proportional to 1,738, 2,398.50 and 1,298.08

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Solution

The fourth proportional to 1,738, 2,398.50 and 1,298.08 is: 1,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738 : 2,398.50 = 1,298.08 : x
  2. Step 2: Convert to fraction form
    1,738/2,398.50 = 1,298.08/x
  3. Step 3: Cross multiply
    1,738x = 2,398.50 × 1,298.08
  4. Step 4: Simplify right side
    1,738x = 3,113,444.88
  5. Step 5: Solve for x
    x = 3,113,444.88/1,738
  6. Step 6: Final answer
    x = 1,791.40

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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.