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Finding the Fourth Proportional to 12,596.77, 18,881.32 and 5,197.22

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Solution

The fourth proportional to 12,596.77, 18,881.32 and 5,197.22 is: 7,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.77 : 18,881.32 = 5,197.22 : x
  2. Step 2: Convert to fraction form
    12,596.77/18,881.32 = 5,197.22/x
  3. Step 3: Cross multiply
    12,596.77x = 18,881.32 × 5,197.22
  4. Step 4: Simplify right side
    12,596.77x = 98,130,373.93
  5. Step 5: Solve for x
    x = 98,130,373.93/12,596.77
  6. Step 6: Final answer
    x = 7,790.12

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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.