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Finding the Fourth Proportional to 28,043.44, 42,071.76 and 8,322.16

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Solution

The fourth proportional to 28,043.44, 42,071.76 and 8,322.16 is: 12,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,043.44 : 42,071.76 = 8,322.16 : x
  2. Step 2: Convert to fraction form
    28,043.44/42,071.76 = 8,322.16/x
  3. Step 3: Cross multiply
    28,043.44x = 42,071.76 × 8,322.16
  4. Step 4: Simplify right side
    28,043.44x = 350,127,918.20
  5. Step 5: Solve for x
    x = 350,127,918.20/28,043.44
  6. Step 6: Final answer
    x = 12,485.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.