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Finding the Fourth Proportional to 30,945.47, 46,421.58 and 9,880.61

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Solution

The fourth proportional to 30,945.47, 46,421.58 and 9,880.61 is: 14,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945.47 : 46,421.58 = 9,880.61 : x
  2. Step 2: Convert to fraction form
    30,945.47/46,421.58 = 9,880.61/x
  3. Step 3: Cross multiply
    30,945.47x = 46,421.58 × 9,880.61
  4. Step 4: Simplify right side
    30,945.47x = 458,673,527.56
  5. Step 5: Solve for x
    x = 458,673,527.56/30,945.47
  6. Step 6: Final answer
    x = 14,821.99

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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.