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Finding the Fourth Proportional to 12,781.13, 17,638.16 and 7,479.68

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Solution

The fourth proportional to 12,781.13, 17,638.16 and 7,479.68 is: 10,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.13 : 17,638.16 = 7,479.68 : x
  2. Step 2: Convert to fraction form
    12,781.13/17,638.16 = 7,479.68/x
  3. Step 3: Cross multiply
    12,781.13x = 17,638.16 × 7,479.68
  4. Step 4: Simplify right side
    12,781.13x = 131,927,667.00
  5. Step 5: Solve for x
    x = 131,927,667.00/12,781.13
  6. Step 6: Final answer
    x = 10,322.07

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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.