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Finding the Fourth Proportional to 13,433.51, 20,145 and 7,888.25

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Solution

The fourth proportional to 13,433.51, 20,145 and 7,888.25 is: 11,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.51 : 20,145 = 7,888.25 : x
  2. Step 2: Convert to fraction form
    13,433.51/20,145 = 7,888.25/x
  3. Step 3: Cross multiply
    13,433.51x = 20,145 × 7,888.25
  4. Step 4: Simplify right side
    13,433.51x = 158,908,796.25
  5. Step 5: Solve for x
    x = 158,908,796.25/13,433.51
  6. Step 6: Final answer
    x = 11,829.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.