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Finding the Fourth Proportional to 38,054, 57,081.18 and 13,430

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Solution

The fourth proportional to 38,054, 57,081.18 and 13,430 is: 20,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054 : 57,081.18 = 13,430 : x
  2. Step 2: Convert to fraction form
    38,054/57,081.18 = 13,430/x
  3. Step 3: Cross multiply
    38,054x = 57,081.18 × 13,430
  4. Step 4: Simplify right side
    38,054x = 766,600,247.40
  5. Step 5: Solve for x
    x = 766,600,247.40/38,054
  6. Step 6: Final answer
    x = 20,145.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.