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Finding the Fourth Proportional to 12,842.90, 17,723.03 and 7,178.16

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Solution

The fourth proportional to 12,842.90, 17,723.03 and 7,178.16 is: 9,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.90 : 17,723.03 = 7,178.16 : x
  2. Step 2: Convert to fraction form
    12,842.90/17,723.03 = 7,178.16/x
  3. Step 3: Cross multiply
    12,842.90x = 17,723.03 × 7,178.16
  4. Step 4: Simplify right side
    12,842.90x = 127,218,709.13
  5. Step 5: Solve for x
    x = 127,218,709.13/12,842.90
  6. Step 6: Final answer
    x = 9,905.77

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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.