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Finding the Fourth Proportional to 12,974.67, 17,888.67 and 8,491.32

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Solution

The fourth proportional to 12,974.67, 17,888.67 and 8,491.32 is: 11,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.67 : 17,888.67 = 8,491.32 : x
  2. Step 2: Convert to fraction form
    12,974.67/17,888.67 = 8,491.32/x
  3. Step 3: Cross multiply
    12,974.67x = 17,888.67 × 8,491.32
  4. Step 4: Simplify right side
    12,974.67x = 151,898,421.34
  5. Step 5: Solve for x
    x = 151,898,421.34/12,974.67
  6. Step 6: Final answer
    x = 11,707.31

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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.