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Finding the Fourth Proportional to 38,630, 53,309.40 and 20,966

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Solution

The fourth proportional to 38,630, 53,309.40 and 20,966 is: 28,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,630 : 53,309.40 = 20,966 : x
  2. Step 2: Convert to fraction form
    38,630/53,309.40 = 20,966/x
  3. Step 3: Cross multiply
    38,630x = 53,309.40 × 20,966
  4. Step 4: Simplify right side
    38,630x = 1,117,684,880.40
  5. Step 5: Solve for x
    x = 1,117,684,880.40/38,630
  6. Step 6: Final answer
    x = 28,933.08

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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.