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Finding the Fourth Proportional to 27,875, 38,467.95 and 15,299.75

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Solution

The fourth proportional to 27,875, 38,467.95 and 15,299.75 is: 21,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875 : 38,467.95 = 15,299.75 : x
  2. Step 2: Convert to fraction form
    27,875/38,467.95 = 15,299.75/x
  3. Step 3: Cross multiply
    27,875x = 38,467.95 × 15,299.75
  4. Step 4: Simplify right side
    27,875x = 588,550,018.01
  5. Step 5: Solve for x
    x = 588,550,018.01/27,875
  6. Step 6: Final answer
    x = 21,113.90

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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.