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Finding the Fourth Proportional to 22,292, 30,762.96 and 12,356

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Solution

The fourth proportional to 22,292, 30,762.96 and 12,356 is: 17,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292 : 30,762.96 = 12,356 : x
  2. Step 2: Convert to fraction form
    22,292/30,762.96 = 12,356/x
  3. Step 3: Cross multiply
    22,292x = 30,762.96 × 12,356
  4. Step 4: Simplify right side
    22,292x = 380,107,133.76
  5. Step 5: Solve for x
    x = 380,107,133.76/22,292
  6. Step 6: Final answer
    x = 17,051.28

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Why These Related Problems?

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