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Finding the Fourth Proportional to 30,653.23, 45,978.57 and 10,667.30

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Solution

The fourth proportional to 30,653.23, 45,978.57 and 10,667.30 is: 16,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.23 : 45,978.57 = 10,667.30 : x
  2. Step 2: Convert to fraction form
    30,653.23/45,978.57 = 10,667.30/x
  3. Step 3: Cross multiply
    30,653.23x = 45,978.57 × 10,667.30
  4. Step 4: Simplify right side
    30,653.23x = 490,467,228.50
  5. Step 5: Solve for x
    x = 490,467,228.50/30,653.23
  6. Step 6: Final answer
    x = 16,000.51

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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.