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Finding the Fourth Proportional to 1,387.70, 2,070.68 and 1,379.60

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Solution

The fourth proportional to 1,387.70, 2,070.68 and 1,379.60 is: 2,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.70 : 2,070.68 = 1,379.60 : x
  2. Step 2: Convert to fraction form
    1,387.70/2,070.68 = 1,379.60/x
  3. Step 3: Cross multiply
    1,387.70x = 2,070.68 × 1,379.60
  4. Step 4: Simplify right side
    1,387.70x = 2,856,710.13
  5. Step 5: Solve for x
    x = 2,856,710.13/1,387.70
  6. Step 6: Final answer
    x = 2,058.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.