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Finding the Fourth Proportional to 27,648, 38,152.26 and 15,709.32

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Solution

The fourth proportional to 27,648, 38,152.26 and 15,709.32 is: 21,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648 : 38,152.26 = 15,709.32 : x
  2. Step 2: Convert to fraction form
    27,648/38,152.26 = 15,709.32/x
  3. Step 3: Cross multiply
    27,648x = 38,152.26 × 15,709.32
  4. Step 4: Simplify right side
    27,648x = 599,346,061.06
  5. Step 5: Solve for x
    x = 599,346,061.06/27,648
  6. Step 6: Final answer
    x = 21,677.74

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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.