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Finding the Fourth Proportional to 28,296.08, 42,434.08 and 8,300.02

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Solution

The fourth proportional to 28,296.08, 42,434.08 and 8,300.02 is: 12,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,296.08 : 42,434.08 = 8,300.02 : x
  2. Step 2: Convert to fraction form
    28,296.08/42,434.08 = 8,300.02/x
  3. Step 3: Cross multiply
    28,296.08x = 42,434.08 × 8,300.02
  4. Step 4: Simplify right side
    28,296.08x = 352,203,712.68
  5. Step 5: Solve for x
    x = 352,203,712.68/28,296.08
  6. Step 6: Final answer
    x = 12,447.08

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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.