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Finding the Fourth Proportional to 19,440, 29,164.32 and 7,128

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Solution

The fourth proportional to 19,440, 29,164.32 and 7,128 is: 10,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,440 : 29,164.32 = 7,128 : x
  2. Step 2: Convert to fraction form
    19,440/29,164.32 = 7,128/x
  3. Step 3: Cross multiply
    19,440x = 29,164.32 × 7,128
  4. Step 4: Simplify right side
    19,440x = 207,883,272.96
  5. Step 5: Solve for x
    x = 207,883,272.96/19,440
  6. Step 6: Final answer
    x = 10,693.58

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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.