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Finding the Fourth Proportional to 19,683, 27,161.74 and 10,730.31

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Solution

The fourth proportional to 19,683, 27,161.74 and 10,730.31 is: 14,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 27,161.74 = 10,730.31 : x
  2. Step 2: Convert to fraction form
    19,683/27,161.74 = 10,730.31/x
  3. Step 3: Cross multiply
    19,683x = 27,161.74 × 10,730.31
  4. Step 4: Simplify right side
    19,683x = 291,453,890.34
  5. Step 5: Solve for x
    x = 291,453,890.34/19,683
  6. Step 6: Final answer
    x = 14,807.39

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1.5x scale

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.