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Finding the Fourth Proportional to 30,420.68, 45,632.64 and 9,645.80

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Solution

The fourth proportional to 30,420.68, 45,632.64 and 9,645.80 is: 14,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.68 : 45,632.64 = 9,645.80 : x
  2. Step 2: Convert to fraction form
    30,420.68/45,632.64 = 9,645.80/x
  3. Step 3: Cross multiply
    30,420.68x = 45,632.64 × 9,645.80
  4. Step 4: Simplify right side
    30,420.68x = 440,163,318.91
  5. Step 5: Solve for x
    x = 440,163,318.91/30,420.68
  6. Step 6: Final answer
    x = 14,469.21

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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.