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Finding the Fourth Proportional to 15,767.84, 23,666.16 and 7,982.08

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Solution

The fourth proportional to 15,767.84, 23,666.16 and 7,982.08 is: 11,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.84 : 23,666.16 = 7,982.08 : x
  2. Step 2: Convert to fraction form
    15,767.84/23,666.16 = 7,982.08/x
  3. Step 3: Cross multiply
    15,767.84x = 23,666.16 × 7,982.08
  4. Step 4: Simplify right side
    15,767.84x = 188,905,182.41
  5. Step 5: Solve for x
    x = 188,905,182.41/15,767.84
  6. Step 6: Final answer
    x = 11,980.41

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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.