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Finding the Fourth Proportional to 43,437, 65,155.50 and 10,605

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Solution

The fourth proportional to 43,437, 65,155.50 and 10,605 is: 15,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,437 : 65,155.50 = 10,605 : x
  2. Step 2: Convert to fraction form
    43,437/65,155.50 = 10,605/x
  3. Step 3: Cross multiply
    43,437x = 65,155.50 × 10,605
  4. Step 4: Simplify right side
    43,437x = 690,974,077.50
  5. Step 5: Solve for x
    x = 690,974,077.50/43,437
  6. Step 6: Final answer
    x = 15,907.50

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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.