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Finding the Fourth Proportional to 2,607.14, 3,597.72 and 1,428.14

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Solution

The fourth proportional to 2,607.14, 3,597.72 and 1,428.14 is: 1,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.14 : 3,597.72 = 1,428.14 : x
  2. Step 2: Convert to fraction form
    2,607.14/3,597.72 = 1,428.14/x
  3. Step 3: Cross multiply
    2,607.14x = 3,597.72 × 1,428.14
  4. Step 4: Simplify right side
    2,607.14x = 5,138,047.84
  5. Step 5: Solve for x
    x = 5,138,047.84/2,607.14
  6. Step 6: Final answer
    x = 1,970.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.