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Finding the Fourth Proportional to 10,565.87, 15,851.31 and 3,450.07

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Solution

The fourth proportional to 10,565.87, 15,851.31 and 3,450.07 is: 5,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.87 : 15,851.31 = 3,450.07 : x
  2. Step 2: Convert to fraction form
    10,565.87/15,851.31 = 3,450.07/x
  3. Step 3: Cross multiply
    10,565.87x = 15,851.31 × 3,450.07
  4. Step 4: Simplify right side
    10,565.87x = 54,688,111.84
  5. Step 5: Solve for x
    x = 54,688,111.84/10,565.87
  6. Step 6: Final answer
    x = 5,175.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.