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Finding the Fourth Proportional to 1,267.40, 1,901.10 and 1,259.30

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Solution

The fourth proportional to 1,267.40, 1,901.10 and 1,259.30 is: 1,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.40 : 1,901.10 = 1,259.30 : x
  2. Step 2: Convert to fraction form
    1,267.40/1,901.10 = 1,259.30/x
  3. Step 3: Cross multiply
    1,267.40x = 1,901.10 × 1,259.30
  4. Step 4: Simplify right side
    1,267.40x = 2,394,055.23
  5. Step 5: Solve for x
    x = 2,394,055.23/1,267.40
  6. Step 6: Final answer
    x = 1,888.95

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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.