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Finding the Fourth Proportional to 1,875.98, 2,809.88 and 1,053.82

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Solution

The fourth proportional to 1,875.98, 2,809.88 and 1,053.82 is: 1,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.98 : 2,809.88 = 1,053.82 : x
  2. Step 2: Convert to fraction form
    1,875.98/2,809.88 = 1,053.82/x
  3. Step 3: Cross multiply
    1,875.98x = 2,809.88 × 1,053.82
  4. Step 4: Simplify right side
    1,875.98x = 2,961,107.74
  5. Step 5: Solve for x
    x = 2,961,107.74/1,875.98
  6. Step 6: Final answer
    x = 1,578.43

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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.