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Finding the Fourth Proportional to 12,851.64, 17,734.38 and 7,186.08

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Solution

The fourth proportional to 12,851.64, 17,734.38 and 7,186.08 is: 9,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.64 : 17,734.38 = 7,186.08 : x
  2. Step 2: Convert to fraction form
    12,851.64/17,734.38 = 7,186.08/x
  3. Step 3: Cross multiply
    12,851.64x = 17,734.38 × 7,186.08
  4. Step 4: Simplify right side
    12,851.64x = 127,440,673.43
  5. Step 5: Solve for x
    x = 127,440,673.43/12,851.64
  6. Step 6: Final answer
    x = 9,916.30

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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.