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Finding the Fourth Proportional to 12,291.54, 16,957.53 and 6,912.78

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Solution

The fourth proportional to 12,291.54, 16,957.53 and 6,912.78 is: 9,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.54 : 16,957.53 = 6,912.78 : x
  2. Step 2: Convert to fraction form
    12,291.54/16,957.53 = 6,912.78/x
  3. Step 3: Cross multiply
    12,291.54x = 16,957.53 × 6,912.78
  4. Step 4: Simplify right side
    12,291.54x = 117,223,674.23
  5. Step 5: Solve for x
    x = 117,223,674.23/12,291.54
  6. Step 6: Final answer
    x = 9,536.94

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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.