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Finding the Fourth Proportional to 22,345.74, 30,828.54 and 12,783.69

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Solution

The fourth proportional to 22,345.74, 30,828.54 and 12,783.69 is: 17,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.74 : 30,828.54 = 12,783.69 : x
  2. Step 2: Convert to fraction form
    22,345.74/30,828.54 = 12,783.69/x
  3. Step 3: Cross multiply
    22,345.74x = 30,828.54 × 12,783.69
  4. Step 4: Simplify right side
    22,345.74x = 394,102,498.51
  5. Step 5: Solve for x
    x = 394,102,498.51/22,345.74
  6. Step 6: Final answer
    x = 17,636.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.