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Finding the Fourth Proportional to 28,678, 43,018.62 and 10,210

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Solution

The fourth proportional to 28,678, 43,018.62 and 10,210 is: 15,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,678 : 43,018.62 = 10,210 : x
  2. Step 2: Convert to fraction form
    28,678/43,018.62 = 10,210/x
  3. Step 3: Cross multiply
    28,678x = 43,018.62 × 10,210
  4. Step 4: Simplify right side
    28,678x = 439,220,110.20
  5. Step 5: Solve for x
    x = 439,220,110.20/28,678
  6. Step 6: Final answer
    x = 15,315.58

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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.