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Finding the Fourth Proportional to 30,457.72, 45,709.66 and 12,939.84

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Solution

The fourth proportional to 30,457.72, 45,709.66 and 12,939.84 is: 19,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.72 : 45,709.66 = 12,939.84 : x
  2. Step 2: Convert to fraction form
    30,457.72/45,709.66 = 12,939.84/x
  3. Step 3: Cross multiply
    30,457.72x = 45,709.66 × 12,939.84
  4. Step 4: Simplify right side
    30,457.72x = 591,475,686.85
  5. Step 5: Solve for x
    x = 591,475,686.85/30,457.72
  6. Step 6: Final answer
    x = 19,419.57

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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.