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Finding the Fourth Proportional to 30,546, 45,826.68 and 8,658

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Solution

The fourth proportional to 30,546, 45,826.68 and 8,658 is: 12,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546 : 45,826.68 = 8,658 : x
  2. Step 2: Convert to fraction form
    30,546/45,826.68 = 8,658/x
  3. Step 3: Cross multiply
    30,546x = 45,826.68 × 8,658
  4. Step 4: Simplify right side
    30,546x = 396,767,395.44
  5. Step 5: Solve for x
    x = 396,767,395.44/30,546
  6. Step 6: Final answer
    x = 12,989.18

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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.