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Finding the Fourth Proportional to 9,821.52, 14,709.60 and 7,030.80

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Solution

The fourth proportional to 9,821.52, 14,709.60 and 7,030.80 is: 10,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.52 : 14,709.60 = 7,030.80 : x
  2. Step 2: Convert to fraction form
    9,821.52/14,709.60 = 7,030.80/x
  3. Step 3: Cross multiply
    9,821.52x = 14,709.60 × 7,030.80
  4. Step 4: Simplify right side
    9,821.52x = 103,420,255.68
  5. Step 5: Solve for x
    x = 103,420,255.68/9,821.52
  6. Step 6: Final answer
    x = 10,529.96

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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.