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Finding the Fourth Proportional to 30,475.59, 45,715.44 and 11,755.78

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Solution

The fourth proportional to 30,475.59, 45,715.44 and 11,755.78 is: 17,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.59 : 45,715.44 = 11,755.78 : x
  2. Step 2: Convert to fraction form
    30,475.59/45,715.44 = 11,755.78/x
  3. Step 3: Cross multiply
    30,475.59x = 45,715.44 × 11,755.78
  4. Step 4: Simplify right side
    30,475.59x = 537,420,710.75
  5. Step 5: Solve for x
    x = 537,420,710.75/30,475.59
  6. Step 6: Final answer
    x = 17,634.46

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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.