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Finding the Fourth Proportional to 1,389.82, 2,084.82 and 1,370.74

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Solution

The fourth proportional to 1,389.82, 2,084.82 and 1,370.74 is: 2,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.82 : 2,084.82 = 1,370.74 : x
  2. Step 2: Convert to fraction form
    1,389.82/2,084.82 = 1,370.74/x
  3. Step 3: Cross multiply
    1,389.82x = 2,084.82 × 1,370.74
  4. Step 4: Simplify right side
    1,389.82x = 2,857,746.17
  5. Step 5: Solve for x
    x = 2,857,746.17/1,389.82
  6. Step 6: Final answer
    x = 2,056.20

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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.