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Finding the Fourth Proportional to 28,602.24, 42,905.28 and 7,825.92

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Solution

The fourth proportional to 28,602.24, 42,905.28 and 7,825.92 is: 11,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,602.24 : 42,905.28 = 7,825.92 : x
  2. Step 2: Convert to fraction form
    28,602.24/42,905.28 = 7,825.92/x
  3. Step 3: Cross multiply
    28,602.24x = 42,905.28 × 7,825.92
  4. Step 4: Simplify right side
    28,602.24x = 335,773,288.86
  5. Step 5: Solve for x
    x = 335,773,288.86/28,602.24
  6. Step 6: Final answer
    x = 11,739.41

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1.5x scale

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.