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Finding the Fourth Proportional to 22,376.63, 30,880.64 and 13,420.86

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Solution

The fourth proportional to 22,376.63, 30,880.64 and 13,420.86 is: 18,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.63 : 30,880.64 = 13,420.86 : x
  2. Step 2: Convert to fraction form
    22,376.63/30,880.64 = 13,420.86/x
  3. Step 3: Cross multiply
    22,376.63x = 30,880.64 × 13,420.86
  4. Step 4: Simplify right side
    22,376.63x = 414,444,679.05
  5. Step 5: Solve for x
    x = 414,444,679.05/22,376.63
  6. Step 6: Final answer
    x = 18,521.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.