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Finding the Fourth Proportional to 38,410, 53,005.80 and 20,746

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Solution

The fourth proportional to 38,410, 53,005.80 and 20,746 is: 28,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410 : 53,005.80 = 20,746 : x
  2. Step 2: Convert to fraction form
    38,410/53,005.80 = 20,746/x
  3. Step 3: Cross multiply
    38,410x = 53,005.80 × 20,746
  4. Step 4: Simplify right side
    38,410x = 1,099,658,326.80
  5. Step 5: Solve for x
    x = 1,099,658,326.80/38,410
  6. Step 6: Final answer
    x = 28,629.48

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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.