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Finding the Fourth Proportional to 12,455.93, 17,191.49 and 7,078.34

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Solution

The fourth proportional to 12,455.93, 17,191.49 and 7,078.34 is: 9,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.93 : 17,191.49 = 7,078.34 : x
  2. Step 2: Convert to fraction form
    12,455.93/17,191.49 = 7,078.34/x
  3. Step 3: Cross multiply
    12,455.93x = 17,191.49 × 7,078.34
  4. Step 4: Simplify right side
    12,455.93x = 121,687,089.98
  5. Step 5: Solve for x
    x = 121,687,089.98/12,455.93
  6. Step 6: Final answer
    x = 9,769.41

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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.