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Finding the Fourth Proportional to 12,207.96, 18,312 and 2,973.96

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Solution

The fourth proportional to 12,207.96, 18,312 and 2,973.96 is: 4,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.96 : 18,312 = 2,973.96 : x
  2. Step 2: Convert to fraction form
    12,207.96/18,312 = 2,973.96/x
  3. Step 3: Cross multiply
    12,207.96x = 18,312 × 2,973.96
  4. Step 4: Simplify right side
    12,207.96x = 54,459,155.52
  5. Step 5: Solve for x
    x = 54,459,155.52/12,207.96
  6. Step 6: Final answer
    x = 4,460.95

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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.