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Finding the Fourth Proportional to 12,883.64, 17,646.19 and 12,127.10

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Solution

The fourth proportional to 12,883.64, 17,646.19 and 12,127.10 is: 16,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.64 : 17,646.19 = 12,127.10 : x
  2. Step 2: Convert to fraction form
    12,883.64/17,646.19 = 12,127.10/x
  3. Step 3: Cross multiply
    12,883.64x = 17,646.19 × 12,127.10
  4. Step 4: Simplify right side
    12,883.64x = 213,996,992.20
  5. Step 5: Solve for x
    x = 213,996,992.20/12,883.64
  6. Step 6: Final answer
    x = 16,609.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.