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Finding the Fourth Proportional to 12,616.75, 17,416.58 and 7,903.77

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Solution

The fourth proportional to 12,616.75, 17,416.58 and 7,903.77 is: 10,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.75 : 17,416.58 = 7,903.77 : x
  2. Step 2: Convert to fraction form
    12,616.75/17,416.58 = 7,903.77/x
  3. Step 3: Cross multiply
    12,616.75x = 17,416.58 × 7,903.77
  4. Step 4: Simplify right side
    12,616.75x = 137,656,642.51
  5. Step 5: Solve for x
    x = 137,656,642.51/12,616.75
  6. Step 6: Final answer
    x = 10,910.63

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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.