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Finding the Fourth Proportional to 11,216.97, 15,478.53 and 6,739.08

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Solution

The fourth proportional to 11,216.97, 15,478.53 and 6,739.08 is: 9,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.97 : 15,478.53 = 6,739.08 : x
  2. Step 2: Convert to fraction form
    11,216.97/15,478.53 = 6,739.08/x
  3. Step 3: Cross multiply
    11,216.97x = 15,478.53 × 6,739.08
  4. Step 4: Simplify right side
    11,216.97x = 104,311,051.95
  5. Step 5: Solve for x
    x = 104,311,051.95/11,216.97
  6. Step 6: Final answer
    x = 9,299.40

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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.