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Finding the Fourth Proportional to 1,379.98, 1,907.10 and 1,130.90

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Solution

The fourth proportional to 1,379.98, 1,907.10 and 1,130.90 is: 1,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.98 : 1,907.10 = 1,130.90 : x
  2. Step 2: Convert to fraction form
    1,379.98/1,907.10 = 1,130.90/x
  3. Step 3: Cross multiply
    1,379.98x = 1,907.10 × 1,130.90
  4. Step 4: Simplify right side
    1,379.98x = 2,156,739.39
  5. Step 5: Solve for x
    x = 2,156,739.39/1,379.98
  6. Step 6: Final answer
    x = 1,562.88

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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.