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Finding the Fourth Proportional to 15,321.70, 22,970.94 and 7,826.37

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Solution

The fourth proportional to 15,321.70, 22,970.94 and 7,826.37 is: 11,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321.70 : 22,970.94 = 7,826.37 : x
  2. Step 2: Convert to fraction form
    15,321.70/22,970.94 = 7,826.37/x
  3. Step 3: Cross multiply
    15,321.70x = 22,970.94 × 7,826.37
  4. Step 4: Simplify right side
    15,321.70x = 179,779,075.69
  5. Step 5: Solve for x
    x = 179,779,075.69/15,321.70
  6. Step 6: Final answer
    x = 11,733.62

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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.