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Finding the Fourth Proportional to 38,488, 53,113.60 and 20,824

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Solution

The fourth proportional to 38,488, 53,113.60 and 20,824 is: 28,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,488 : 53,113.60 = 20,824 : x
  2. Step 2: Convert to fraction form
    38,488/53,113.60 = 20,824/x
  3. Step 3: Cross multiply
    38,488x = 53,113.60 × 20,824
  4. Step 4: Simplify right side
    38,488x = 1,106,037,606.40
  5. Step 5: Solve for x
    x = 1,106,037,606.40/38,488
  6. Step 6: Final answer
    x = 28,737.21

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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.