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Finding the Fourth Proportional to 1,291.07, 1,933.16 and 1,029.84

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Solution

The fourth proportional to 1,291.07, 1,933.16 and 1,029.84 is: 1,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.07 : 1,933.16 = 1,029.84 : x
  2. Step 2: Convert to fraction form
    1,291.07/1,933.16 = 1,029.84/x
  3. Step 3: Cross multiply
    1,291.07x = 1,933.16 × 1,029.84
  4. Step 4: Simplify right side
    1,291.07x = 1,990,840.35
  5. Step 5: Solve for x
    x = 1,990,840.35/1,291.07
  6. Step 6: Final answer
    x = 1,542.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.