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Finding the Fourth Proportional to 15,494.64, 21,381.96 and 8,421

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Solution

The fourth proportional to 15,494.64, 21,381.96 and 8,421 is: 11,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.64 : 21,381.96 = 8,421 : x
  2. Step 2: Convert to fraction form
    15,494.64/21,381.96 = 8,421/x
  3. Step 3: Cross multiply
    15,494.64x = 21,381.96 × 8,421
  4. Step 4: Simplify right side
    15,494.64x = 180,057,485.16
  5. Step 5: Solve for x
    x = 180,057,485.16/15,494.64
  6. Step 6: Final answer
    x = 11,620.63

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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.