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Finding the Fourth Proportional to 30,918.54, 46,381.21 and 9,853.68

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Solution

The fourth proportional to 30,918.54, 46,381.21 and 9,853.68 is: 14,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918.54 : 46,381.21 = 9,853.68 : x
  2. Step 2: Convert to fraction form
    30,918.54/46,381.21 = 9,853.68/x
  3. Step 3: Cross multiply
    30,918.54x = 46,381.21 × 9,853.68
  4. Step 4: Simplify right side
    30,918.54x = 457,025,601.35
  5. Step 5: Solve for x
    x = 457,025,601.35/30,918.54
  6. Step 6: Final answer
    x = 14,781.60

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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.