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Finding the Fourth Proportional to 12,854.64, 19,288.64 and 5,839.63

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Solution

The fourth proportional to 12,854.64, 19,288.64 and 5,839.63 is: 8,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.64 : 19,288.64 = 5,839.63 : x
  2. Step 2: Convert to fraction form
    12,854.64/19,288.64 = 5,839.63/x
  3. Step 3: Cross multiply
    12,854.64x = 19,288.64 × 5,839.63
  4. Step 4: Simplify right side
    12,854.64x = 112,638,520.80
  5. Step 5: Solve for x
    x = 112,638,520.80/12,854.64
  6. Step 6: Final answer
    x = 8,762.48

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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.