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Finding the Fourth Proportional to 27,883, 38,478.54 and 15,308.56

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Solution

The fourth proportional to 27,883, 38,478.54 and 15,308.56 is: 21,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883 : 38,478.54 = 15,308.56 : x
  2. Step 2: Convert to fraction form
    27,883/38,478.54 = 15,308.56/x
  3. Step 3: Cross multiply
    27,883x = 38,478.54 × 15,308.56
  4. Step 4: Simplify right side
    27,883x = 589,051,038.30
  5. Step 5: Solve for x
    x = 589,051,038.30/27,883
  6. Step 6: Final answer
    x = 21,125.81

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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.