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Finding the Fourth Proportional to 30,676.40, 45,987.60 and 20,783.60

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Solution

The fourth proportional to 30,676.40, 45,987.60 and 20,783.60 is: 31,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.40 : 45,987.60 = 20,783.60 : x
  2. Step 2: Convert to fraction form
    30,676.40/45,987.60 = 20,783.60/x
  3. Step 3: Cross multiply
    30,676.40x = 45,987.60 × 20,783.60
  4. Step 4: Simplify right side
    30,676.40x = 955,787,883.36
  5. Step 5: Solve for x
    x = 955,787,883.36/30,676.40
  6. Step 6: Final answer
    x = 31,157.11

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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.