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Finding the Fourth Proportional to 20,804.80, 31,207.20 and 7,657.60

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Solution

The fourth proportional to 20,804.80, 31,207.20 and 7,657.60 is: 11,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.80 : 31,207.20 = 7,657.60 : x
  2. Step 2: Convert to fraction form
    20,804.80/31,207.20 = 7,657.60/x
  3. Step 3: Cross multiply
    20,804.80x = 31,207.20 × 7,657.60
  4. Step 4: Simplify right side
    20,804.80x = 238,972,254.72
  5. Step 5: Solve for x
    x = 238,972,254.72/20,804.80
  6. Step 6: Final answer
    x = 11,486.40

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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.