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Finding the Fourth Proportional to 11,611.51, 17,409.51 and 4,215.02

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Solution

The fourth proportional to 11,611.51, 17,409.51 and 4,215.02 is: 6,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.51 : 17,409.51 = 4,215.02 : x
  2. Step 2: Convert to fraction form
    11,611.51/17,409.51 = 4,215.02/x
  3. Step 3: Cross multiply
    11,611.51x = 17,409.51 × 4,215.02
  4. Step 4: Simplify right side
    11,611.51x = 73,381,345.79
  5. Step 5: Solve for x
    x = 73,381,345.79/11,611.51
  6. Step 6: Final answer
    x = 6,319.71

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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.