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Finding the Fourth Proportional to 43,728, 65,603.10 and 12,563.28

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Solution

The fourth proportional to 43,728, 65,603.10 and 12,563.28 is: 18,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,728 : 65,603.10 = 12,563.28 : x
  2. Step 2: Convert to fraction form
    43,728/65,603.10 = 12,563.28/x
  3. Step 3: Cross multiply
    43,728x = 65,603.10 × 12,563.28
  4. Step 4: Simplify right side
    43,728x = 824,190,114.17
  5. Step 5: Solve for x
    x = 824,190,114.17/43,728
  6. Step 6: Final answer
    x = 18,848.11

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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.