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Finding the Fourth Proportional to 21,650.64, 29,880.63 and 12,219

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Solution

The fourth proportional to 21,650.64, 29,880.63 and 12,219 is: 16,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,650.64 : 29,880.63 = 12,219 : x
  2. Step 2: Convert to fraction form
    21,650.64/29,880.63 = 12,219/x
  3. Step 3: Cross multiply
    21,650.64x = 29,880.63 × 12,219
  4. Step 4: Simplify right side
    21,650.64x = 365,111,417.97
  5. Step 5: Solve for x
    x = 365,111,417.97/21,650.64
  6. Step 6: Final answer
    x = 16,863.77

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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.