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Finding the Fourth Proportional to 14,159.63, 19,540.35 and 7,872

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Solution

The fourth proportional to 14,159.63, 19,540.35 and 7,872 is: 10,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.63 : 19,540.35 = 7,872 : x
  2. Step 2: Convert to fraction form
    14,159.63/19,540.35 = 7,872/x
  3. Step 3: Cross multiply
    14,159.63x = 19,540.35 × 7,872
  4. Step 4: Simplify right side
    14,159.63x = 153,821,635.20
  5. Step 5: Solve for x
    x = 153,821,635.20/14,159.63
  6. Step 6: Final answer
    x = 10,863.40

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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.