Home / 2,428.19-3,642.64-947.14

Finding the Fourth Proportional to 2,428.19, 3,642.64 and 947.14

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Solution

The fourth proportional to 2,428.19, 3,642.64 and 947.14 is: 1,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.19 : 3,642.64 = 947.14 : x
  2. Step 2: Convert to fraction form
    2,428.19/3,642.64 = 947.14/x
  3. Step 3: Cross multiply
    2,428.19x = 3,642.64 × 947.14
  4. Step 4: Simplify right side
    2,428.19x = 3,450,078.58
  5. Step 5: Solve for x
    x = 3,450,078.58/2,428.19
  6. Step 6: Final answer
    x = 1,420.84

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Why These Related Problems?

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