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Finding the Fourth Proportional to 1,755.29, 2,421.29 and 1,134.29

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Solution

The fourth proportional to 1,755.29, 2,421.29 and 1,134.29 is: 1,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.29 : 2,421.29 = 1,134.29 : x
  2. Step 2: Convert to fraction form
    1,755.29/2,421.29 = 1,134.29/x
  3. Step 3: Cross multiply
    1,755.29x = 2,421.29 × 1,134.29
  4. Step 4: Simplify right side
    1,755.29x = 2,746,439.36
  5. Step 5: Solve for x
    x = 2,746,439.36/1,755.29
  6. Step 6: Final answer
    x = 1,564.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.