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Finding the Fourth Proportional to 12,918.64, 17,821.12 and 8,445

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Solution

The fourth proportional to 12,918.64, 17,821.12 and 8,445 is: 11,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918.64 : 17,821.12 = 8,445 : x
  2. Step 2: Convert to fraction form
    12,918.64/17,821.12 = 8,445/x
  3. Step 3: Cross multiply
    12,918.64x = 17,821.12 × 8,445
  4. Step 4: Simplify right side
    12,918.64x = 150,499,358.40
  5. Step 5: Solve for x
    x = 150,499,358.40/12,918.64
  6. Step 6: Final answer
    x = 11,649.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.