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Finding the Fourth Proportional to 19,640.70, 27,103.61 and 10,688.00

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Solution

The fourth proportional to 19,640.70, 27,103.61 and 10,688.00 is: 14,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.70 : 27,103.61 = 10,688.00 : x
  2. Step 2: Convert to fraction form
    19,640.70/27,103.61 = 10,688.00/x
  3. Step 3: Cross multiply
    19,640.70x = 27,103.61 × 10,688.00
  4. Step 4: Simplify right side
    19,640.70x = 289,683,194.72
  5. Step 5: Solve for x
    x = 289,683,194.72/19,640.70
  6. Step 6: Final answer
    x = 14,749.13

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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.