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Finding the Fourth Proportional to 38,320, 57,480 and 10,618

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Solution

The fourth proportional to 38,320, 57,480 and 10,618 is: 15,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,320 : 57,480 = 10,618 : x
  2. Step 2: Convert to fraction form
    38,320/57,480 = 10,618/x
  3. Step 3: Cross multiply
    38,320x = 57,480 × 10,618
  4. Step 4: Simplify right side
    38,320x = 610,322,640
  5. Step 5: Solve for x
    x = 610,322,640/38,320
  6. Step 6: Final answer
    x = 15,927

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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.