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Finding the Fourth Proportional to 28,636.05, 42,943.78 and 9,911

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Solution

The fourth proportional to 28,636.05, 42,943.78 and 9,911 is: 14,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,636.05 : 42,943.78 = 9,911 : x
  2. Step 2: Convert to fraction form
    28,636.05/42,943.78 = 9,911/x
  3. Step 3: Cross multiply
    28,636.05x = 42,943.78 × 9,911
  4. Step 4: Simplify right side
    28,636.05x = 425,615,754.03
  5. Step 5: Solve for x
    x = 425,615,754.03/28,636.05
  6. Step 6: Final answer
    x = 14,862.94

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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.