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Finding the Fourth Proportional to 25,987.56, 38,980.80 and 10,401

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Solution

The fourth proportional to 25,987.56, 38,980.80 and 10,401 is: 15,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,987.56 : 38,980.80 = 10,401 : x
  2. Step 2: Convert to fraction form
    25,987.56/38,980.80 = 10,401/x
  3. Step 3: Cross multiply
    25,987.56x = 38,980.80 × 10,401
  4. Step 4: Simplify right side
    25,987.56x = 405,439,300.80
  5. Step 5: Solve for x
    x = 405,439,300.80/25,987.56
  6. Step 6: Final answer
    x = 15,601.28

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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.