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Finding the Fourth Proportional to 11,580, 17,370.08 and 2,814.96

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Solution

The fourth proportional to 11,580, 17,370.08 and 2,814.96 is: 4,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580 : 17,370.08 = 2,814.96 : x
  2. Step 2: Convert to fraction form
    11,580/17,370.08 = 2,814.96/x
  3. Step 3: Cross multiply
    11,580x = 17,370.08 × 2,814.96
  4. Step 4: Simplify right side
    11,580x = 48,896,080.40
  5. Step 5: Solve for x
    x = 48,896,080.40/11,580
  6. Step 6: Final answer
    x = 4,222.46

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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.