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Finding the Fourth Proportional to 2,613, 3,602.74 and 2,051.72

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Solution

The fourth proportional to 2,613, 3,602.74 and 2,051.72 is: 2,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613 : 3,602.74 = 2,051.72 : x
  2. Step 2: Convert to fraction form
    2,613/3,602.74 = 2,051.72/x
  3. Step 3: Cross multiply
    2,613x = 3,602.74 × 2,051.72
  4. Step 4: Simplify right side
    2,613x = 7,391,813.71
  5. Step 5: Solve for x
    x = 7,391,813.71/2,613
  6. Step 6: Final answer
    x = 2,828.86

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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.