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Finding the Fourth Proportional to 28,411.76, 42,618 and 10,882.64

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Solution

The fourth proportional to 28,411.76, 42,618 and 10,882.64 is: 16,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,411.76 : 42,618 = 10,882.64 : x
  2. Step 2: Convert to fraction form
    28,411.76/42,618 = 10,882.64/x
  3. Step 3: Cross multiply
    28,411.76x = 42,618 × 10,882.64
  4. Step 4: Simplify right side
    28,411.76x = 463,796,351.52
  5. Step 5: Solve for x
    x = 463,796,351.52/28,411.76
  6. Step 6: Final answer
    x = 16,324.10

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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.