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Finding the Fourth Proportional to 38,889, 58,342.14 and 14,265

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Solution

The fourth proportional to 38,889, 58,342.14 and 14,265 is: 21,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,889 : 58,342.14 = 14,265 : x
  2. Step 2: Convert to fraction form
    38,889/58,342.14 = 14,265/x
  3. Step 3: Cross multiply
    38,889x = 58,342.14 × 14,265
  4. Step 4: Simplify right side
    38,889x = 832,250,627.10
  5. Step 5: Solve for x
    x = 832,250,627.10/38,889
  6. Step 6: Final answer
    x = 21,400.67

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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.