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Finding the Fourth Proportional to 12,638.40, 17,438.40 and 9,648.96

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Solution

The fourth proportional to 12,638.40, 17,438.40 and 9,648.96 is: 13,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.40 : 17,438.40 = 9,648.96 : x
  2. Step 2: Convert to fraction form
    12,638.40/17,438.40 = 9,648.96/x
  3. Step 3: Cross multiply
    12,638.40x = 17,438.40 × 9,648.96
  4. Step 4: Simplify right side
    12,638.40x = 168,262,424.06
  5. Step 5: Solve for x
    x = 168,262,424.06/12,638.40
  6. Step 6: Final answer
    x = 13,313.59

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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.