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Finding the Fourth Proportional to 12,797.66, 17,656.70 and 7,207.58

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Solution

The fourth proportional to 12,797.66, 17,656.70 and 7,207.58 is: 9,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.66 : 17,656.70 = 7,207.58 : x
  2. Step 2: Convert to fraction form
    12,797.66/17,656.70 = 7,207.58/x
  3. Step 3: Cross multiply
    12,797.66x = 17,656.70 × 7,207.58
  4. Step 4: Simplify right side
    12,797.66x = 127,262,077.79
  5. Step 5: Solve for x
    x = 127,262,077.79/12,797.66
  6. Step 6: Final answer
    x = 9,944.17

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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.