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Finding the Fourth Proportional to 11,393.63, 15,724.09 and 6,290.14

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Solution

The fourth proportional to 11,393.63, 15,724.09 and 6,290.14 is: 8,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.63 : 15,724.09 = 6,290.14 : x
  2. Step 2: Convert to fraction form
    11,393.63/15,724.09 = 6,290.14/x
  3. Step 3: Cross multiply
    11,393.63x = 15,724.09 × 6,290.14
  4. Step 4: Simplify right side
    11,393.63x = 98,906,782.51
  5. Step 5: Solve for x
    x = 98,906,782.51/11,393.63
  6. Step 6: Final answer
    x = 8,680.89

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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.