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Finding the Fourth Proportional to 12,846.40, 17,733.60 and 7,812.20

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Solution

The fourth proportional to 12,846.40, 17,733.60 and 7,812.20 is: 10,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.40 : 17,733.60 = 7,812.20 : x
  2. Step 2: Convert to fraction form
    12,846.40/17,733.60 = 7,812.20/x
  3. Step 3: Cross multiply
    12,846.40x = 17,733.60 × 7,812.20
  4. Step 4: Simplify right side
    12,846.40x = 138,538,429.92
  5. Step 5: Solve for x
    x = 138,538,429.92/12,846.40
  6. Step 6: Final answer
    x = 10,784.22

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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.