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Finding the Fourth Proportional to 27,945, 41,929.65 and 10,412.55

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Solution

The fourth proportional to 27,945, 41,929.65 and 10,412.55 is: 15,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 41,929.65 = 10,412.55 : x
  2. Step 2: Convert to fraction form
    27,945/41,929.65 = 10,412.55/x
  3. Step 3: Cross multiply
    27,945x = 41,929.65 × 10,412.55
  4. Step 4: Simplify right side
    27,945x = 436,594,577.11
  5. Step 5: Solve for x
    x = 436,594,577.11/27,945
  6. Step 6: Final answer
    x = 15,623.35

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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.