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Finding the Fourth Proportional to 38,430, 53,033.40 and 20,766

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Solution

The fourth proportional to 38,430, 53,033.40 and 20,766 is: 28,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430 : 53,033.40 = 20,766 : x
  2. Step 2: Convert to fraction form
    38,430/53,033.40 = 20,766/x
  3. Step 3: Cross multiply
    38,430x = 53,033.40 × 20,766
  4. Step 4: Simplify right side
    38,430x = 1,101,291,584.40
  5. Step 5: Solve for x
    x = 1,101,291,584.40/38,430
  6. Step 6: Final answer
    x = 28,657.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.