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Finding the Fourth Proportional to 15,987.48, 23,984.24 and 7,661.84

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Solution

The fourth proportional to 15,987.48, 23,984.24 and 7,661.84 is: 11,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,987.48 : 23,984.24 = 7,661.84 : x
  2. Step 2: Convert to fraction form
    15,987.48/23,984.24 = 7,661.84/x
  3. Step 3: Cross multiply
    15,987.48x = 23,984.24 × 7,661.84
  4. Step 4: Simplify right side
    15,987.48x = 183,763,409.40
  5. Step 5: Solve for x
    x = 183,763,409.40/15,987.48
  6. Step 6: Final answer
    x = 11,494.21

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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.