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Finding the Fourth Proportional to 38,509.50, 53,143.11 and 21,742.50

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Solution

The fourth proportional to 38,509.50, 53,143.11 and 21,742.50 is: 30,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.50 : 53,143.11 = 21,742.50 : x
  2. Step 2: Convert to fraction form
    38,509.50/53,143.11 = 21,742.50/x
  3. Step 3: Cross multiply
    38,509.50x = 53,143.11 × 21,742.50
  4. Step 4: Simplify right side
    38,509.50x = 1,155,464,069.18
  5. Step 5: Solve for x
    x = 1,155,464,069.18/38,509.50
  6. Step 6: Final answer
    x = 30,004.65

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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.