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Finding the Fourth Proportional to 25,698.40, 38,518.80 and 13,213.60

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Solution

The fourth proportional to 25,698.40, 38,518.80 and 13,213.60 is: 19,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.40 : 38,518.80 = 13,213.60 : x
  2. Step 2: Convert to fraction form
    25,698.40/38,518.80 = 13,213.60/x
  3. Step 3: Cross multiply
    25,698.40x = 38,518.80 × 13,213.60
  4. Step 4: Simplify right side
    25,698.40x = 508,972,015.68
  5. Step 5: Solve for x
    x = 508,972,015.68/25,698.40
  6. Step 6: Final answer
    x = 19,805.59

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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.