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Finding the Fourth Proportional to 2,307.42, 3,480.71 and 2,302.56

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Solution

The fourth proportional to 2,307.42, 3,480.71 and 2,302.56 is: 3,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.42 : 3,480.71 = 2,302.56 : x
  2. Step 2: Convert to fraction form
    2,307.42/3,480.71 = 2,302.56/x
  3. Step 3: Cross multiply
    2,307.42x = 3,480.71 × 2,302.56
  4. Step 4: Simplify right side
    2,307.42x = 8,014,532.10
  5. Step 5: Solve for x
    x = 8,014,532.10/2,307.42
  6. Step 6: Final answer
    x = 3,473.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.