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Finding the Fourth Proportional to 9,620.47, 13,265.53 and 7,890.54

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Solution

The fourth proportional to 9,620.47, 13,265.53 and 7,890.54 is: 10,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.47 : 13,265.53 = 7,890.54 : x
  2. Step 2: Convert to fraction form
    9,620.47/13,265.53 = 7,890.54/x
  3. Step 3: Cross multiply
    9,620.47x = 13,265.53 × 7,890.54
  4. Step 4: Simplify right side
    9,620.47x = 104,672,195.09
  5. Step 5: Solve for x
    x = 104,672,195.09/9,620.47
  6. Step 6: Final answer
    x = 10,880.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.