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Finding the Fourth Proportional to 22,000.25, 30,347.93 and 13,038.95

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Solution

The fourth proportional to 22,000.25, 30,347.93 and 13,038.95 is: 17,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.25 : 30,347.93 = 13,038.95 : x
  2. Step 2: Convert to fraction form
    22,000.25/30,347.93 = 13,038.95/x
  3. Step 3: Cross multiply
    22,000.25x = 30,347.93 × 13,038.95
  4. Step 4: Simplify right side
    22,000.25x = 395,705,076.68
  5. Step 5: Solve for x
    x = 395,705,076.68/22,000.25
  6. Step 6: Final answer
    x = 17,986.39

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1.5x scale

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.