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Finding the Fourth Proportional to 12,704.81, 17,530.56 and 7,985.75

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Solution

The fourth proportional to 12,704.81, 17,530.56 and 7,985.75 is: 11,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.81 : 17,530.56 = 7,985.75 : x
  2. Step 2: Convert to fraction form
    12,704.81/17,530.56 = 7,985.75/x
  3. Step 3: Cross multiply
    12,704.81x = 17,530.56 × 7,985.75
  4. Step 4: Simplify right side
    12,704.81x = 139,994,581.87
  5. Step 5: Solve for x
    x = 139,994,581.87/12,704.81
  6. Step 6: Final answer
    x = 11,019.03

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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.