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Finding the Fourth Proportional to 28,353, 42,529.86 and 9,885

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Solution

The fourth proportional to 28,353, 42,529.86 and 9,885 is: 14,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,353 : 42,529.86 = 9,885 : x
  2. Step 2: Convert to fraction form
    28,353/42,529.86 = 9,885/x
  3. Step 3: Cross multiply
    28,353x = 42,529.86 × 9,885
  4. Step 4: Simplify right side
    28,353x = 420,407,666.10
  5. Step 5: Solve for x
    x = 420,407,666.10/28,353
  6. Step 6: Final answer
    x = 14,827.63

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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.