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Finding the Fourth Proportional to 10,506, 15,761.70 and 3,580.50

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Solution

The fourth proportional to 10,506, 15,761.70 and 3,580.50 is: 5,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506 : 15,761.70 = 3,580.50 : x
  2. Step 2: Convert to fraction form
    10,506/15,761.70 = 3,580.50/x
  3. Step 3: Cross multiply
    10,506x = 15,761.70 × 3,580.50
  4. Step 4: Simplify right side
    10,506x = 56,434,766.85
  5. Step 5: Solve for x
    x = 56,434,766.85/10,506
  6. Step 6: Final answer
    x = 5,371.67

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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.