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Finding the Fourth Proportional to 10,078.30, 15,131.18 and 6,950.58

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Solution

The fourth proportional to 10,078.30, 15,131.18 and 6,950.58 is: 10,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.30 : 15,131.18 = 6,950.58 : x
  2. Step 2: Convert to fraction form
    10,078.30/15,131.18 = 6,950.58/x
  3. Step 3: Cross multiply
    10,078.30x = 15,131.18 × 6,950.58
  4. Step 4: Simplify right side
    10,078.30x = 105,170,477.08
  5. Step 5: Solve for x
    x = 105,170,477.08/10,078.30
  6. Step 6: Final answer
    x = 10,435.34

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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.