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Finding the Fourth Proportional to 38,400, 53,009.76 and 27,078.72

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Solution

The fourth proportional to 38,400, 53,009.76 and 27,078.72 is: 37,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400 : 53,009.76 = 27,078.72 : x
  2. Step 2: Convert to fraction form
    38,400/53,009.76 = 27,078.72/x
  3. Step 3: Cross multiply
    38,400x = 53,009.76 × 27,078.72
  4. Step 4: Simplify right side
    38,400x = 1,435,436,448.31
  5. Step 5: Solve for x
    x = 1,435,436,448.31/38,400
  6. Step 6: Final answer
    x = 37,381.16

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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.