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Finding the Fourth Proportional to 2,269.86, 3,133.50 and 1,430.97

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Solution

The fourth proportional to 2,269.86, 3,133.50 and 1,430.97 is: 1,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.86 : 3,133.50 = 1,430.97 : x
  2. Step 2: Convert to fraction form
    2,269.86/3,133.50 = 1,430.97/x
  3. Step 3: Cross multiply
    2,269.86x = 3,133.50 × 1,430.97
  4. Step 4: Simplify right side
    2,269.86x = 4,483,944.50
  5. Step 5: Solve for x
    x = 4,483,944.50/2,269.86
  6. Step 6: Final answer
    x = 1,975.43

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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.