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Finding the Fourth Proportional to 23,088, 34,640.64 and 11,987.76

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Solution

The fourth proportional to 23,088, 34,640.64 and 11,987.76 is: 17,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,088 : 34,640.64 = 11,987.76 : x
  2. Step 2: Convert to fraction form
    23,088/34,640.64 = 11,987.76/x
  3. Step 3: Cross multiply
    23,088x = 34,640.64 × 11,987.76
  4. Step 4: Simplify right side
    23,088x = 415,263,678.57
  5. Step 5: Solve for x
    x = 415,263,678.57/23,088
  6. Step 6: Final answer
    x = 17,986.13

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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.