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Finding the Fourth Proportional to 15,984, 23,985.72 and 6,750

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Solution

The fourth proportional to 15,984, 23,985.72 and 6,750 is: 10,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 23,985.72 = 6,750 : x
  2. Step 2: Convert to fraction form
    15,984/23,985.72 = 6,750/x
  3. Step 3: Cross multiply
    15,984x = 23,985.72 × 6,750
  4. Step 4: Simplify right side
    15,984x = 161,903,610
  5. Step 5: Solve for x
    x = 161,903,610/15,984
  6. Step 6: Final answer
    x = 10,129.10

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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.