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Finding the Fourth Proportional to 13,625.26, 18,803 and 7,657.04

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Solution

The fourth proportional to 13,625.26, 18,803 and 7,657.04 is: 10,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.26 : 18,803 = 7,657.04 : x
  2. Step 2: Convert to fraction form
    13,625.26/18,803 = 7,657.04/x
  3. Step 3: Cross multiply
    13,625.26x = 18,803 × 7,657.04
  4. Step 4: Simplify right side
    13,625.26x = 143,975,323.12
  5. Step 5: Solve for x
    x = 143,975,323.12/13,625.26
  6. Step 6: Final answer
    x = 10,566.79

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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.