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Finding the Fourth Proportional to 1,400.63, 1,925.73 and 1,249.88

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Solution

The fourth proportional to 1,400.63, 1,925.73 and 1,249.88 is: 1,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.63 : 1,925.73 = 1,249.88 : x
  2. Step 2: Convert to fraction form
    1,400.63/1,925.73 = 1,249.88/x
  3. Step 3: Cross multiply
    1,400.63x = 1,925.73 × 1,249.88
  4. Step 4: Simplify right side
    1,400.63x = 2,406,921.78
  5. Step 5: Solve for x
    x = 2,406,921.78/1,400.63
  6. Step 6: Final answer
    x = 1,718.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.