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Finding the Fourth Proportional to 30,457.54, 45,676.59 and 9,676.18

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Solution

The fourth proportional to 30,457.54, 45,676.59 and 9,676.18 is: 14,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.54 : 45,676.59 = 9,676.18 : x
  2. Step 2: Convert to fraction form
    30,457.54/45,676.59 = 9,676.18/x
  3. Step 3: Cross multiply
    30,457.54x = 45,676.59 × 9,676.18
  4. Step 4: Simplify right side
    30,457.54x = 441,974,906.63
  5. Step 5: Solve for x
    x = 441,974,906.63/30,457.54
  6. Step 6: Final answer
    x = 14,511.18

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1.5x scale

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.