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Finding the Fourth Proportional to 19,630, 27,089.12 and 10,677.30

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Solution

The fourth proportional to 19,630, 27,089.12 and 10,677.30 is: 14,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,630 : 27,089.12 = 10,677.30 : x
  2. Step 2: Convert to fraction form
    19,630/27,089.12 = 10,677.30/x
  3. Step 3: Cross multiply
    19,630x = 27,089.12 × 10,677.30
  4. Step 4: Simplify right side
    19,630x = 289,238,660.98
  5. Step 5: Solve for x
    x = 289,238,660.98/19,630
  6. Step 6: Final answer
    x = 14,734.52

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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.