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Finding the Fourth Proportional to 10,945.60, 16,420.20 and 4,708.60

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Solution

The fourth proportional to 10,945.60, 16,420.20 and 4,708.60 is: 7,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.60 : 16,420.20 = 4,708.60 : x
  2. Step 2: Convert to fraction form
    10,945.60/16,420.20 = 4,708.60/x
  3. Step 3: Cross multiply
    10,945.60x = 16,420.20 × 4,708.60
  4. Step 4: Simplify right side
    10,945.60x = 77,316,153.72
  5. Step 5: Solve for x
    x = 77,316,153.72/10,945.60
  6. Step 6: Final answer
    x = 7,063.67

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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.