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Finding the Fourth Proportional to 1,370.78, 1,878.98 and 1,352.32

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Solution

The fourth proportional to 1,370.78, 1,878.98 and 1,352.32 is: 1,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.78 : 1,878.98 = 1,352.32 : x
  2. Step 2: Convert to fraction form
    1,370.78/1,878.98 = 1,352.32/x
  3. Step 3: Cross multiply
    1,370.78x = 1,878.98 × 1,352.32
  4. Step 4: Simplify right side
    1,370.78x = 2,540,982.23
  5. Step 5: Solve for x
    x = 2,540,982.23/1,370.78
  6. Step 6: Final answer
    x = 1,853.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.