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Finding the Fourth Proportional to 12,842.00, 19,276.09 and 6,918.64

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Solution

The fourth proportional to 12,842.00, 19,276.09 and 6,918.64 is: 10,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.00 : 19,276.09 = 6,918.64 : x
  2. Step 2: Convert to fraction form
    12,842.00/19,276.09 = 6,918.64/x
  3. Step 3: Cross multiply
    12,842.00x = 19,276.09 × 6,918.64
  4. Step 4: Simplify right side
    12,842.00x = 133,364,300.75
  5. Step 5: Solve for x
    x = 133,364,300.75/12,842.00
  6. Step 6: Final answer
    x = 10,385.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.