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Finding the Fourth Proportional to 30,415.96, 45,628.30 and 9,357.77

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Solution

The fourth proportional to 30,415.96, 45,628.30 and 9,357.77 is: 14,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.96 : 45,628.30 = 9,357.77 : x
  2. Step 2: Convert to fraction form
    30,415.96/45,628.30 = 9,357.77/x
  3. Step 3: Cross multiply
    30,415.96x = 45,628.30 × 9,357.77
  4. Step 4: Simplify right side
    30,415.96x = 426,978,902.90
  5. Step 5: Solve for x
    x = 426,978,902.90/30,415.96
  6. Step 6: Final answer
    x = 14,037.99

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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.