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Finding the Fourth Proportional to 26,468.64, 39,670.56 and 12,420

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Solution

The fourth proportional to 26,468.64, 39,670.56 and 12,420 is: 18,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,468.64 : 39,670.56 = 12,420 : x
  2. Step 2: Convert to fraction form
    26,468.64/39,670.56 = 12,420/x
  3. Step 3: Cross multiply
    26,468.64x = 39,670.56 × 12,420
  4. Step 4: Simplify right side
    26,468.64x = 492,708,355.20
  5. Step 5: Solve for x
    x = 492,708,355.20/26,468.64
  6. Step 6: Final answer
    x = 18,614.80

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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.