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Finding the Fourth Proportional to 28,622, 42,935.16 and 10,154

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Solution

The fourth proportional to 28,622, 42,935.16 and 10,154 is: 15,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,622 : 42,935.16 = 10,154 : x
  2. Step 2: Convert to fraction form
    28,622/42,935.16 = 10,154/x
  3. Step 3: Cross multiply
    28,622x = 42,935.16 × 10,154
  4. Step 4: Simplify right side
    28,622x = 435,963,614.64
  5. Step 5: Solve for x
    x = 435,963,614.64/28,622
  6. Step 6: Final answer
    x = 15,231.77

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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.