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Finding the Fourth Proportional to 21,800.76, 30,064.14 and 13,828.80

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Solution

The fourth proportional to 21,800.76, 30,064.14 and 13,828.80 is: 19,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800.76 : 30,064.14 = 13,828.80 : x
  2. Step 2: Convert to fraction form
    21,800.76/30,064.14 = 13,828.80/x
  3. Step 3: Cross multiply
    21,800.76x = 30,064.14 × 13,828.80
  4. Step 4: Simplify right side
    21,800.76x = 415,750,979.23
  5. Step 5: Solve for x
    x = 415,750,979.23/21,800.76
  6. Step 6: Final answer
    x = 19,070.48

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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.