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Finding the Fourth Proportional to 10,651.34, 15,977.10 and 2,860.15

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Solution

The fourth proportional to 10,651.34, 15,977.10 and 2,860.15 is: 4,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.34 : 15,977.10 = 2,860.15 : x
  2. Step 2: Convert to fraction form
    10,651.34/15,977.10 = 2,860.15/x
  3. Step 3: Cross multiply
    10,651.34x = 15,977.10 × 2,860.15
  4. Step 4: Simplify right side
    10,651.34x = 45,696,873.35
  5. Step 5: Solve for x
    x = 45,696,873.35/10,651.34
  6. Step 6: Final answer
    x = 4,290.25

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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.