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Finding the Fourth Proportional to 15,191.86, 20,964.24 and 8,477.36

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Solution

The fourth proportional to 15,191.86, 20,964.24 and 8,477.36 is: 11,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191.86 : 20,964.24 = 8,477.36 : x
  2. Step 2: Convert to fraction form
    15,191.86/20,964.24 = 8,477.36/x
  3. Step 3: Cross multiply
    15,191.86x = 20,964.24 × 8,477.36
  4. Step 4: Simplify right side
    15,191.86x = 177,721,409.61
  5. Step 5: Solve for x
    x = 177,721,409.61/15,191.86
  6. Step 6: Final answer
    x = 11,698.46

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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.