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Finding the Fourth Proportional to 12,884.83, 19,302.08 and 8,881.50

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Solution

The fourth proportional to 12,884.83, 19,302.08 and 8,881.50 is: 13,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.83 : 19,302.08 = 8,881.50 : x
  2. Step 2: Convert to fraction form
    12,884.83/19,302.08 = 8,881.50/x
  3. Step 3: Cross multiply
    12,884.83x = 19,302.08 × 8,881.50
  4. Step 4: Simplify right side
    12,884.83x = 171,431,423.52
  5. Step 5: Solve for x
    x = 171,431,423.52/12,884.83
  6. Step 6: Final answer
    x = 13,304.90

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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.