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Finding the Fourth Proportional to 21,797.76, 30,068.48 and 13,408.32

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Solution

The fourth proportional to 21,797.76, 30,068.48 and 13,408.32 is: 18,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.76 : 30,068.48 = 13,408.32 : x
  2. Step 2: Convert to fraction form
    21,797.76/30,068.48 = 13,408.32/x
  3. Step 3: Cross multiply
    21,797.76x = 30,068.48 × 13,408.32
  4. Step 4: Simplify right side
    21,797.76x = 403,167,801.75
  5. Step 5: Solve for x
    x = 403,167,801.75/21,797.76
  6. Step 6: Final answer
    x = 18,495.84

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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.