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Finding the Fourth Proportional to 26,978.48, 40,467.72 and 17,742.32

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Solution

The fourth proportional to 26,978.48, 40,467.72 and 17,742.32 is: 26,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.48 : 40,467.72 = 17,742.32 : x
  2. Step 2: Convert to fraction form
    26,978.48/40,467.72 = 17,742.32/x
  3. Step 3: Cross multiply
    26,978.48x = 40,467.72 × 17,742.32
  4. Step 4: Simplify right side
    26,978.48x = 717,991,237.91
  5. Step 5: Solve for x
    x = 717,991,237.91/26,978.48
  6. Step 6: Final answer
    x = 26,613.48

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1.5x scale

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.