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Finding the Fourth Proportional to 13,023.67, 19,529.67 and 7,761.16

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Solution

The fourth proportional to 13,023.67, 19,529.67 and 7,761.16 is: 11,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.67 : 19,529.67 = 7,761.16 : x
  2. Step 2: Convert to fraction form
    13,023.67/19,529.67 = 7,761.16/x
  3. Step 3: Cross multiply
    13,023.67x = 19,529.67 × 7,761.16
  4. Step 4: Simplify right side
    13,023.67x = 151,572,893.62
  5. Step 5: Solve for x
    x = 151,572,893.62/13,023.67
  6. Step 6: Final answer
    x = 11,638.26

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1.5x scale

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.