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Finding the Fourth Proportional to 43,342.50, 65,013.75 and 10,510.50

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Solution

The fourth proportional to 43,342.50, 65,013.75 and 10,510.50 is: 15,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,342.50 : 65,013.75 = 10,510.50 : x
  2. Step 2: Convert to fraction form
    43,342.50/65,013.75 = 10,510.50/x
  3. Step 3: Cross multiply
    43,342.50x = 65,013.75 × 10,510.50
  4. Step 4: Simplify right side
    43,342.50x = 683,327,019.38
  5. Step 5: Solve for x
    x = 683,327,019.38/43,342.50
  6. Step 6: Final answer
    x = 15,765.75

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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.