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Finding the Fourth Proportional to 28,101.60, 38,784.06 and 16,164.63

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Solution

The fourth proportional to 28,101.60, 38,784.06 and 16,164.63 is: 22,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,101.60 : 38,784.06 = 16,164.63 : x
  2. Step 2: Convert to fraction form
    28,101.60/38,784.06 = 16,164.63/x
  3. Step 3: Cross multiply
    28,101.60x = 38,784.06 × 16,164.63
  4. Step 4: Simplify right side
    28,101.60x = 626,929,979.80
  5. Step 5: Solve for x
    x = 626,929,979.80/28,101.60
  6. Step 6: Final answer
    x = 22,309.41

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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.