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Finding the Fourth Proportional to 30,496.60, 45,731.46 and 9,722.20

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Solution

The fourth proportional to 30,496.60, 45,731.46 and 9,722.20 is: 14,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.60 : 45,731.46 = 9,722.20 : x
  2. Step 2: Convert to fraction form
    30,496.60/45,731.46 = 9,722.20/x
  3. Step 3: Cross multiply
    30,496.60x = 45,731.46 × 9,722.20
  4. Step 4: Simplify right side
    30,496.60x = 444,610,400.41
  5. Step 5: Solve for x
    x = 444,610,400.41/30,496.60
  6. Step 6: Final answer
    x = 14,579.02

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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.