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Finding the Fourth Proportional to 9,478.86, 13,080.10 and 5,230.09

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Solution

The fourth proportional to 9,478.86, 13,080.10 and 5,230.09 is: 7,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.86 : 13,080.10 = 5,230.09 : x
  2. Step 2: Convert to fraction form
    9,478.86/13,080.10 = 5,230.09/x
  3. Step 3: Cross multiply
    9,478.86x = 13,080.10 × 5,230.09
  4. Step 4: Simplify right side
    9,478.86x = 68,410,039.71
  5. Step 5: Solve for x
    x = 68,410,039.71/9,478.86
  6. Step 6: Final answer
    x = 7,217.12

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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.