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Finding the Fourth Proportional to 30,885.46, 46,329.81 and 9,827.80

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Solution

The fourth proportional to 30,885.46, 46,329.81 and 9,827.80 is: 14,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.46 : 46,329.81 = 9,827.80 : x
  2. Step 2: Convert to fraction form
    30,885.46/46,329.81 = 9,827.80/x
  3. Step 3: Cross multiply
    30,885.46x = 46,329.81 × 9,827.80
  4. Step 4: Simplify right side
    30,885.46x = 455,320,106.72
  5. Step 5: Solve for x
    x = 455,320,106.72/30,885.46
  6. Step 6: Final answer
    x = 14,742.22

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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.