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Finding the Fourth Proportional to 12,662.98, 17,475.66 and 7,287.20

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Solution

The fourth proportional to 12,662.98, 17,475.66 and 7,287.20 is: 10,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.98 : 17,475.66 = 7,287.20 : x
  2. Step 2: Convert to fraction form
    12,662.98/17,475.66 = 7,287.20/x
  3. Step 3: Cross multiply
    12,662.98x = 17,475.66 × 7,287.20
  4. Step 4: Simplify right side
    12,662.98x = 127,348,629.55
  5. Step 5: Solve for x
    x = 127,348,629.55/12,662.98
  6. Step 6: Final answer
    x = 10,056.77

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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.