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Finding the Fourth Proportional to 23,830.40, 32,889.89 and 13,223.45

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Solution

The fourth proportional to 23,830.40, 32,889.89 and 13,223.45 is: 18,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.40 : 32,889.89 = 13,223.45 : x
  2. Step 2: Convert to fraction form
    23,830.40/32,889.89 = 13,223.45/x
  3. Step 3: Cross multiply
    23,830.40x = 32,889.89 × 13,223.45
  4. Step 4: Simplify right side
    23,830.40x = 434,917,931.20
  5. Step 5: Solve for x
    x = 434,917,931.20/23,830.40
  6. Step 6: Final answer
    x = 18,250.55

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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.