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Finding the Fourth Proportional to 30,297, 41,803.04 and 18,359.92

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Solution

The fourth proportional to 30,297, 41,803.04 and 18,359.92 is: 25,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297 : 41,803.04 = 18,359.92 : x
  2. Step 2: Convert to fraction form
    30,297/41,803.04 = 18,359.92/x
  3. Step 3: Cross multiply
    30,297x = 41,803.04 × 18,359.92
  4. Step 4: Simplify right side
    30,297x = 767,500,470.16
  5. Step 5: Solve for x
    x = 767,500,470.16/30,297
  6. Step 6: Final answer
    x = 25,332.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.