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Finding the Fourth Proportional to 30,539.57, 45,810 and 8,352.81

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Solution

The fourth proportional to 30,539.57, 45,810 and 8,352.81 is: 12,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.57 : 45,810 = 8,352.81 : x
  2. Step 2: Convert to fraction form
    30,539.57/45,810 = 8,352.81/x
  3. Step 3: Cross multiply
    30,539.57x = 45,810 × 8,352.81
  4. Step 4: Simplify right side
    30,539.57x = 382,642,226.10
  5. Step 5: Solve for x
    x = 382,642,226.10/30,539.57
  6. Step 6: Final answer
    x = 12,529.39

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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.