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Finding the Fourth Proportional to 12,257.04, 16,914.64 and 7,289.04

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Solution

The fourth proportional to 12,257.04, 16,914.64 and 7,289.04 is: 10,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.04 : 16,914.64 = 7,289.04 : x
  2. Step 2: Convert to fraction form
    12,257.04/16,914.64 = 7,289.04/x
  3. Step 3: Cross multiply
    12,257.04x = 16,914.64 × 7,289.04
  4. Step 4: Simplify right side
    12,257.04x = 123,291,487.55
  5. Step 5: Solve for x
    x = 123,291,487.55/12,257.04
  6. Step 6: Final answer
    x = 10,058.83

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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.