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Finding the Fourth Proportional to 30,472.80, 45,709.12 and 9,696.24

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Solution

The fourth proportional to 30,472.80, 45,709.12 and 9,696.24 is: 14,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.80 : 45,709.12 = 9,696.24 : x
  2. Step 2: Convert to fraction form
    30,472.80/45,709.12 = 9,696.24/x
  3. Step 3: Cross multiply
    30,472.80x = 45,709.12 × 9,696.24
  4. Step 4: Simplify right side
    30,472.80x = 443,206,597.71
  5. Step 5: Solve for x
    x = 443,206,597.71/30,472.80
  6. Step 6: Final answer
    x = 14,544.33

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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.