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Finding the Fourth Proportional to 1,888.83, 2,830.91 and 1,370.61

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Solution

The fourth proportional to 1,888.83, 2,830.91 and 1,370.61 is: 2,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.83 : 2,830.91 = 1,370.61 : x
  2. Step 2: Convert to fraction form
    1,888.83/2,830.91 = 1,370.61/x
  3. Step 3: Cross multiply
    1,888.83x = 2,830.91 × 1,370.61
  4. Step 4: Simplify right side
    1,888.83x = 3,880,073.56
  5. Step 5: Solve for x
    x = 3,880,073.56/1,888.83
  6. Step 6: Final answer
    x = 2,054.22

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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.