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Finding the Fourth Proportional to 1,426.73, 2,138.63 and 907.11

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Solution

The fourth proportional to 1,426.73, 2,138.63 and 907.11 is: 1,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.73 : 2,138.63 = 907.11 : x
  2. Step 2: Convert to fraction form
    1,426.73/2,138.63 = 907.11/x
  3. Step 3: Cross multiply
    1,426.73x = 2,138.63 × 907.11
  4. Step 4: Simplify right side
    1,426.73x = 1,939,968.12
  5. Step 5: Solve for x
    x = 1,939,968.12/1,426.73
  6. Step 6: Final answer
    x = 1,359.74

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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.