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Finding the Fourth Proportional to 20,225.60, 30,316.80 and 7,740.80

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Solution

The fourth proportional to 20,225.60, 30,316.80 and 7,740.80 is: 11,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.60 : 30,316.80 = 7,740.80 : x
  2. Step 2: Convert to fraction form
    20,225.60/30,316.80 = 7,740.80/x
  3. Step 3: Cross multiply
    20,225.60x = 30,316.80 × 7,740.80
  4. Step 4: Simplify right side
    20,225.60x = 234,676,285.44
  5. Step 5: Solve for x
    x = 234,676,285.44/20,225.60
  6. Step 6: Final answer
    x = 11,602.93

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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.