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Finding the Fourth Proportional to 19,783.26, 27,300.80 and 10,830.60

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Solution

The fourth proportional to 19,783.26, 27,300.80 and 10,830.60 is: 14,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.26 : 27,300.80 = 10,830.60 : x
  2. Step 2: Convert to fraction form
    19,783.26/27,300.80 = 10,830.60/x
  3. Step 3: Cross multiply
    19,783.26x = 27,300.80 × 10,830.60
  4. Step 4: Simplify right side
    19,783.26x = 295,683,990.33
  5. Step 5: Solve for x
    x = 295,683,990.33/19,783.26
  6. Step 6: Final answer
    x = 14,946.17

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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.