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Finding the Fourth Proportional to 27,971.72, 42,015.92 and 16,307.72

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Solution

The fourth proportional to 27,971.72, 42,015.92 and 16,307.72 is: 24,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.72 : 42,015.92 = 16,307.72 : x
  2. Step 2: Convert to fraction form
    27,971.72/42,015.92 = 16,307.72/x
  3. Step 3: Cross multiply
    27,971.72x = 42,015.92 × 16,307.72
  4. Step 4: Simplify right side
    27,971.72x = 685,183,858.90
  5. Step 5: Solve for x
    x = 685,183,858.90/27,971.72
  6. Step 6: Final answer
    x = 24,495.59

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1.5x scale

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.