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Finding the Fourth Proportional to 2,613.67, 3,606.85 and 1,434.71

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Solution

The fourth proportional to 2,613.67, 3,606.85 and 1,434.71 is: 1,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.67 : 3,606.85 = 1,434.71 : x
  2. Step 2: Convert to fraction form
    2,613.67/3,606.85 = 1,434.71/x
  3. Step 3: Cross multiply
    2,613.67x = 3,606.85 × 1,434.71
  4. Step 4: Simplify right side
    2,613.67x = 5,174,783.76
  5. Step 5: Solve for x
    x = 5,174,783.76/2,613.67
  6. Step 6: Final answer
    x = 1,979.89

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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.