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Finding the Fourth Proportional to 8,654.99, 12,971.44 and 4,213.72

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Solution

The fourth proportional to 8,654.99, 12,971.44 and 4,213.72 is: 6,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.99 : 12,971.44 = 4,213.72 : x
  2. Step 2: Convert to fraction form
    8,654.99/12,971.44 = 4,213.72/x
  3. Step 3: Cross multiply
    8,654.99x = 12,971.44 × 4,213.72
  4. Step 4: Simplify right side
    8,654.99x = 54,658,037.64
  5. Step 5: Solve for x
    x = 54,658,037.64/8,654.99
  6. Step 6: Final answer
    x = 6,315.21

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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.