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Finding the Fourth Proportional to 13,006.99, 17,930.54 and 9,374.14

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Solution

The fourth proportional to 13,006.99, 17,930.54 and 9,374.14 is: 12,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.99 : 17,930.54 = 9,374.14 : x
  2. Step 2: Convert to fraction form
    13,006.99/17,930.54 = 9,374.14/x
  3. Step 3: Cross multiply
    13,006.99x = 17,930.54 × 9,374.14
  4. Step 4: Simplify right side
    13,006.99x = 168,083,438.08
  5. Step 5: Solve for x
    x = 168,083,438.08/13,006.99
  6. Step 6: Final answer
    x = 12,922.55

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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.