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Finding the Fourth Proportional to 19,720, 29,580 and 5,128

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Solution

The fourth proportional to 19,720, 29,580 and 5,128 is: 7,692

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720 : 29,580 = 5,128 : x
  2. Step 2: Convert to fraction form
    19,720/29,580 = 5,128/x
  3. Step 3: Cross multiply
    19,720x = 29,580 × 5,128
  4. Step 4: Simplify right side
    19,720x = 151,686,240
  5. Step 5: Solve for x
    x = 151,686,240/19,720
  6. Step 6: Final answer
    x = 7,692

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.