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Finding the Fourth Proportional to 2,300.72, 3,428.98 and 2,297.08

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Solution

The fourth proportional to 2,300.72, 3,428.98 and 2,297.08 is: 3,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.72 : 3,428.98 = 2,297.08 : x
  2. Step 2: Convert to fraction form
    2,300.72/3,428.98 = 2,297.08/x
  3. Step 3: Cross multiply
    2,300.72x = 3,428.98 × 2,297.08
  4. Step 4: Simplify right side
    2,300.72x = 7,876,641.38
  5. Step 5: Solve for x
    x = 7,876,641.38/2,300.72
  6. Step 6: Final answer
    x = 3,423.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.