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Finding the Fourth Proportional to 14,658.67, 21,993.14 and 7,638.40

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Solution

The fourth proportional to 14,658.67, 21,993.14 and 7,638.40 is: 11,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.67 : 21,993.14 = 7,638.40 : x
  2. Step 2: Convert to fraction form
    14,658.67/21,993.14 = 7,638.40/x
  3. Step 3: Cross multiply
    14,658.67x = 21,993.14 × 7,638.40
  4. Step 4: Simplify right side
    14,658.67x = 167,992,400.58
  5. Step 5: Solve for x
    x = 167,992,400.58/14,658.67
  6. Step 6: Final answer
    x = 11,460.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.