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Finding the Fourth Proportional to 1,371.06, 1,892.10 and 1,075.80

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Solution

The fourth proportional to 1,371.06, 1,892.10 and 1,075.80 is: 1,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.06 : 1,892.10 = 1,075.80 : x
  2. Step 2: Convert to fraction form
    1,371.06/1,892.10 = 1,075.80/x
  3. Step 3: Cross multiply
    1,371.06x = 1,892.10 × 1,075.80
  4. Step 4: Simplify right side
    1,371.06x = 2,035,521.18
  5. Step 5: Solve for x
    x = 2,035,521.18/1,371.06
  6. Step 6: Final answer
    x = 1,484.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.