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Finding the Fourth Proportional to 28,823.70, 43,221.15 and 13,223.70

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Solution

The fourth proportional to 28,823.70, 43,221.15 and 13,223.70 is: 19,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,823.70 : 43,221.15 = 13,223.70 : x
  2. Step 2: Convert to fraction form
    28,823.70/43,221.15 = 13,223.70/x
  3. Step 3: Cross multiply
    28,823.70x = 43,221.15 × 13,223.70
  4. Step 4: Simplify right side
    28,823.70x = 571,543,521.26
  5. Step 5: Solve for x
    x = 571,543,521.26/28,823.70
  6. Step 6: Final answer
    x = 19,828.94

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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.