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Finding the Fourth Proportional to 12,507.96, 18,742.50 and 4,712.52

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Solution

The fourth proportional to 12,507.96, 18,742.50 and 4,712.52 is: 7,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.96 : 18,742.50 = 4,712.52 : x
  2. Step 2: Convert to fraction form
    12,507.96/18,742.50 = 4,712.52/x
  3. Step 3: Cross multiply
    12,507.96x = 18,742.50 × 4,712.52
  4. Step 4: Simplify right side
    12,507.96x = 88,324,406.10
  5. Step 5: Solve for x
    x = 88,324,406.10/12,507.96
  6. Step 6: Final answer
    x = 7,061.46

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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.