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Finding the Fourth Proportional to 11,242.75, 15,515 and 6,274.75

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Solution

The fourth proportional to 11,242.75, 15,515 and 6,274.75 is: 8,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.75 : 15,515 = 6,274.75 : x
  2. Step 2: Convert to fraction form
    11,242.75/15,515 = 6,274.75/x
  3. Step 3: Cross multiply
    11,242.75x = 15,515 × 6,274.75
  4. Step 4: Simplify right side
    11,242.75x = 97,352,746.25
  5. Step 5: Solve for x
    x = 97,352,746.25/11,242.75
  6. Step 6: Final answer
    x = 8,659.16

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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.