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Finding the Fourth Proportional to 15,994, 23,999.64 and 7,786

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Solution

The fourth proportional to 15,994, 23,999.64 and 7,786 is: 11,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994 : 23,999.64 = 7,786 : x
  2. Step 2: Convert to fraction form
    15,994/23,999.64 = 7,786/x
  3. Step 3: Cross multiply
    15,994x = 23,999.64 × 7,786
  4. Step 4: Simplify right side
    15,994x = 186,861,197.04
  5. Step 5: Solve for x
    x = 186,861,197.04/15,994
  6. Step 6: Final answer
    x = 11,683.21

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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.