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Finding the Fourth Proportional to 28,647.47, 42,960.93 and 9,922.47

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Solution

The fourth proportional to 28,647.47, 42,960.93 and 9,922.47 is: 14,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,647.47 : 42,960.93 = 9,922.47 : x
  2. Step 2: Convert to fraction form
    28,647.47/42,960.93 = 9,922.47/x
  3. Step 3: Cross multiply
    28,647.47x = 42,960.93 × 9,922.47
  4. Step 4: Simplify right side
    28,647.47x = 426,278,539.10
  5. Step 5: Solve for x
    x = 426,278,539.10/28,647.47
  6. Step 6: Final answer
    x = 14,880.15

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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.