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Finding the Fourth Proportional to 38,409.60, 53,046 and 31,258.08

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Solution

The fourth proportional to 38,409.60, 53,046 and 31,258.08 is: 43,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.60 : 53,046 = 31,258.08 : x
  2. Step 2: Convert to fraction form
    38,409.60/53,046 = 31,258.08/x
  3. Step 3: Cross multiply
    38,409.60x = 53,046 × 31,258.08
  4. Step 4: Simplify right side
    38,409.60x = 1,658,116,111.68
  5. Step 5: Solve for x
    x = 1,658,116,111.68/38,409.60
  6. Step 6: Final answer
    x = 43,169.31

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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.