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Finding the Fourth Proportional to 9,482.80, 14,152.09 and 8,431.88

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Solution

The fourth proportional to 9,482.80, 14,152.09 and 8,431.88 is: 12,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.80 : 14,152.09 = 8,431.88 : x
  2. Step 2: Convert to fraction form
    9,482.80/14,152.09 = 8,431.88/x
  3. Step 3: Cross multiply
    9,482.80x = 14,152.09 × 8,431.88
  4. Step 4: Simplify right side
    9,482.80x = 119,328,724.63
  5. Step 5: Solve for x
    x = 119,328,724.63/9,482.80
  6. Step 6: Final answer
    x = 12,583.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.