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Finding the Fourth Proportional to 30,497.56, 45,741.66 and 8,312.72

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Solution

The fourth proportional to 30,497.56, 45,741.66 and 8,312.72 is: 12,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.56 : 45,741.66 = 8,312.72 : x
  2. Step 2: Convert to fraction form
    30,497.56/45,741.66 = 8,312.72/x
  3. Step 3: Cross multiply
    30,497.56x = 45,741.66 × 8,312.72
  4. Step 4: Simplify right side
    30,497.56x = 380,237,383.21
  5. Step 5: Solve for x
    x = 380,237,383.21/30,497.56
  6. Step 6: Final answer
    x = 12,467.80

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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.