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Finding the Fourth Proportional to 12,892.32, 17,792.64 and 7,303.68

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Solution

The fourth proportional to 12,892.32, 17,792.64 and 7,303.68 is: 10,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.32 : 17,792.64 = 7,303.68 : x
  2. Step 2: Convert to fraction form
    12,892.32/17,792.64 = 7,303.68/x
  3. Step 3: Cross multiply
    12,892.32x = 17,792.64 × 7,303.68
  4. Step 4: Simplify right side
    12,892.32x = 129,951,748.92
  5. Step 5: Solve for x
    x = 129,951,748.92/12,892.32
  6. Step 6: Final answer
    x = 10,079.78

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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.