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Finding the Fourth Proportional to 1,901.61, 2,853.63 and 1,252.80

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Solution

The fourth proportional to 1,901.61, 2,853.63 and 1,252.80 is: 1,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.61 : 2,853.63 = 1,252.80 : x
  2. Step 2: Convert to fraction form
    1,901.61/2,853.63 = 1,252.80/x
  3. Step 3: Cross multiply
    1,901.61x = 2,853.63 × 1,252.80
  4. Step 4: Simplify right side
    1,901.61x = 3,575,027.66
  5. Step 5: Solve for x
    x = 3,575,027.66/1,901.61
  6. Step 6: Final answer
    x = 1,880.00

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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.