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Finding the Fourth Proportional to 10,485.32, 15,728.14 and 2,694.14

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Solution

The fourth proportional to 10,485.32, 15,728.14 and 2,694.14 is: 4,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.32 : 15,728.14 = 2,694.14 : x
  2. Step 2: Convert to fraction form
    10,485.32/15,728.14 = 2,694.14/x
  3. Step 3: Cross multiply
    10,485.32x = 15,728.14 × 2,694.14
  4. Step 4: Simplify right side
    10,485.32x = 42,373,811.10
  5. Step 5: Solve for x
    x = 42,373,811.10/10,485.32
  6. Step 6: Final answer
    x = 4,041.25

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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.