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Finding the Fourth Proportional to 12,615.75, 17,415.20 and 7,902.77

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Solution

The fourth proportional to 12,615.75, 17,415.20 and 7,902.77 is: 10,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.75 : 17,415.20 = 7,902.77 : x
  2. Step 2: Convert to fraction form
    12,615.75/17,415.20 = 7,902.77/x
  3. Step 3: Cross multiply
    12,615.75x = 17,415.20 × 7,902.77
  4. Step 4: Simplify right side
    12,615.75x = 137,628,252.78
  5. Step 5: Solve for x
    x = 137,628,252.78/12,615.75
  6. Step 6: Final answer
    x = 10,909.24

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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.