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Finding the Fourth Proportional to 38,643.50, 53,328.03 and 21,876.50

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Solution

The fourth proportional to 38,643.50, 53,328.03 and 21,876.50 is: 30,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.50 : 53,328.03 = 21,876.50 : x
  2. Step 2: Convert to fraction form
    38,643.50/53,328.03 = 21,876.50/x
  3. Step 3: Cross multiply
    38,643.50x = 53,328.03 × 21,876.50
  4. Step 4: Simplify right side
    38,643.50x = 1,166,630,648.30
  5. Step 5: Solve for x
    x = 1,166,630,648.30/38,643.50
  6. Step 6: Final answer
    x = 30,189.57

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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.