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Finding the Fourth Proportional to 1,428.36, 2,138.64 and 907.08

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Solution

The fourth proportional to 1,428.36, 2,138.64 and 907.08 is: 1,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.36 : 2,138.64 = 907.08 : x
  2. Step 2: Convert to fraction form
    1,428.36/2,138.64 = 907.08/x
  3. Step 3: Cross multiply
    1,428.36x = 2,138.64 × 907.08
  4. Step 4: Simplify right side
    1,428.36x = 1,939,917.57
  5. Step 5: Solve for x
    x = 1,939,917.57/1,428.36
  6. Step 6: Final answer
    x = 1,358.14

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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.