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Finding the Fourth Proportional to 43,491, 65,236.50 and 10,659

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Solution

The fourth proportional to 43,491, 65,236.50 and 10,659 is: 15,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,491 : 65,236.50 = 10,659 : x
  2. Step 2: Convert to fraction form
    43,491/65,236.50 = 10,659/x
  3. Step 3: Cross multiply
    43,491x = 65,236.50 × 10,659
  4. Step 4: Simplify right side
    43,491x = 695,355,853.50
  5. Step 5: Solve for x
    x = 695,355,853.50/43,491
  6. Step 6: Final answer
    x = 15,988.50

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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.