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Finding the Fourth Proportional to 8,242.44, 11,376.06 and 5,259.20

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Solution

The fourth proportional to 8,242.44, 11,376.06 and 5,259.20 is: 7,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.44 : 11,376.06 = 5,259.20 : x
  2. Step 2: Convert to fraction form
    8,242.44/11,376.06 = 5,259.20/x
  3. Step 3: Cross multiply
    8,242.44x = 11,376.06 × 5,259.20
  4. Step 4: Simplify right side
    8,242.44x = 59,828,974.75
  5. Step 5: Solve for x
    x = 59,828,974.75/8,242.44
  6. Step 6: Final answer
    x = 7,258.65

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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.