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Finding the Fourth Proportional to 13,643.61, 18,826.85 and 7,675.16

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Solution

The fourth proportional to 13,643.61, 18,826.85 and 7,675.16 is: 10,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.61 : 18,826.85 = 7,675.16 : x
  2. Step 2: Convert to fraction form
    13,643.61/18,826.85 = 7,675.16/x
  3. Step 3: Cross multiply
    13,643.61x = 18,826.85 × 7,675.16
  4. Step 4: Simplify right side
    13,643.61x = 144,498,953.54
  5. Step 5: Solve for x
    x = 144,498,953.54/13,643.61
  6. Step 6: Final answer
    x = 10,590.96

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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.