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Finding the Fourth Proportional to 25,813, 35,627.81 and 15,206.05

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Solution

The fourth proportional to 25,813, 35,627.81 and 15,206.05 is: 20,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813 : 35,627.81 = 15,206.05 : x
  2. Step 2: Convert to fraction form
    25,813/35,627.81 = 15,206.05/x
  3. Step 3: Cross multiply
    25,813x = 35,627.81 × 15,206.05
  4. Step 4: Simplify right side
    25,813x = 541,758,260.25
  5. Step 5: Solve for x
    x = 541,758,260.25/25,813
  6. Step 6: Final answer
    x = 20,987.81

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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.