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Finding the Fourth Proportional to 12,465, 17,203.56 and 7,993.80

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Solution

The fourth proportional to 12,465, 17,203.56 and 7,993.80 is: 11,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465 : 17,203.56 = 7,993.80 : x
  2. Step 2: Convert to fraction form
    12,465/17,203.56 = 7,993.80/x
  3. Step 3: Cross multiply
    12,465x = 17,203.56 × 7,993.80
  4. Step 4: Simplify right side
    12,465x = 137,521,817.93
  5. Step 5: Solve for x
    x = 137,521,817.93/12,465
  6. Step 6: Final answer
    x = 11,032.64

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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.