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Finding the Fourth Proportional to 38,596.50, 53,264.79 and 21,829.50

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Solution

The fourth proportional to 38,596.50, 53,264.79 and 21,829.50 is: 30,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,596.50 : 53,264.79 = 21,829.50 : x
  2. Step 2: Convert to fraction form
    38,596.50/53,264.79 = 21,829.50/x
  3. Step 3: Cross multiply
    38,596.50x = 53,264.79 × 21,829.50
  4. Step 4: Simplify right side
    38,596.50x = 1,162,743,733.31
  5. Step 5: Solve for x
    x = 1,162,743,733.31/38,596.50
  6. Step 6: Final answer
    x = 30,125.63

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1.5x scale

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.