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Finding the Fourth Proportional to 30,597.77, 45,887.82 and 8,411.87

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Solution

The fourth proportional to 30,597.77, 45,887.82 and 8,411.87 is: 12,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.77 : 45,887.82 = 8,411.87 : x
  2. Step 2: Convert to fraction form
    30,597.77/45,887.82 = 8,411.87/x
  3. Step 3: Cross multiply
    30,597.77x = 45,887.82 × 8,411.87
  4. Step 4: Simplify right side
    30,597.77x = 386,002,146.98
  5. Step 5: Solve for x
    x = 386,002,146.98/30,597.77
  6. Step 6: Final answer
    x = 12,615.37

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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.