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Finding the Fourth Proportional to 28,665.33, 42,998.49 and 9,946.02

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Solution

The fourth proportional to 28,665.33, 42,998.49 and 9,946.02 is: 14,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,665.33 : 42,998.49 = 9,946.02 : x
  2. Step 2: Convert to fraction form
    28,665.33/42,998.49 = 9,946.02/x
  3. Step 3: Cross multiply
    28,665.33x = 42,998.49 × 9,946.02
  4. Step 4: Simplify right side
    28,665.33x = 427,663,841.51
  5. Step 5: Solve for x
    x = 427,663,841.51/28,665.33
  6. Step 6: Final answer
    x = 14,919.20

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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.