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Finding the Fourth Proportional to 19,610, 27,061.84 and 10,778

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Solution

The fourth proportional to 19,610, 27,061.84 and 10,778 is: 14,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,610 : 27,061.84 = 10,778 : x
  2. Step 2: Convert to fraction form
    19,610/27,061.84 = 10,778/x
  3. Step 3: Cross multiply
    19,610x = 27,061.84 × 10,778
  4. Step 4: Simplify right side
    19,610x = 291,672,511.52
  5. Step 5: Solve for x
    x = 291,672,511.52/19,610
  6. Step 6: Final answer
    x = 14,873.66

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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.