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Finding the Fourth Proportional to 19,630, 27,089.40 and 10,798

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Solution

The fourth proportional to 19,630, 27,089.40 and 10,798 is: 14,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,630 : 27,089.40 = 10,798 : x
  2. Step 2: Convert to fraction form
    19,630/27,089.40 = 10,798/x
  3. Step 3: Cross multiply
    19,630x = 27,089.40 × 10,798
  4. Step 4: Simplify right side
    19,630x = 292,511,341.20
  5. Step 5: Solve for x
    x = 292,511,341.20/19,630
  6. Step 6: Final answer
    x = 14,901.24

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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.