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Finding the Fourth Proportional to 8,447.25, 11,657.57 and 4,721.25

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Solution

The fourth proportional to 8,447.25, 11,657.57 and 4,721.25 is: 6,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.25 : 11,657.57 = 4,721.25 : x
  2. Step 2: Convert to fraction form
    8,447.25/11,657.57 = 4,721.25/x
  3. Step 3: Cross multiply
    8,447.25x = 11,657.57 × 4,721.25
  4. Step 4: Simplify right side
    8,447.25x = 55,038,278.76
  5. Step 5: Solve for x
    x = 55,038,278.76/8,447.25
  6. Step 6: Final answer
    x = 6,515.53

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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.