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Finding the Fourth Proportional to 15,200.68, 20,973.90 and 8,485.24

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Solution

The fourth proportional to 15,200.68, 20,973.90 and 8,485.24 is: 11,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.68 : 20,973.90 = 8,485.24 : x
  2. Step 2: Convert to fraction form
    15,200.68/20,973.90 = 8,485.24/x
  3. Step 3: Cross multiply
    15,200.68x = 20,973.90 × 8,485.24
  4. Step 4: Simplify right side
    15,200.68x = 177,968,575.24
  5. Step 5: Solve for x
    x = 177,968,575.24/15,200.68
  6. Step 6: Final answer
    x = 11,707.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.