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Finding the Fourth Proportional to 38,633, 53,313.54 and 20,969

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Solution

The fourth proportional to 38,633, 53,313.54 and 20,969 is: 28,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,633 : 53,313.54 = 20,969 : x
  2. Step 2: Convert to fraction form
    38,633/53,313.54 = 20,969/x
  3. Step 3: Cross multiply
    38,633x = 53,313.54 × 20,969
  4. Step 4: Simplify right side
    38,633x = 1,117,931,620.26
  5. Step 5: Solve for x
    x = 1,117,931,620.26/38,633
  6. Step 6: Final answer
    x = 28,937.22

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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.