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Finding the Fourth Proportional to 9,477, 13,078.26 and 5,285.25

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Solution

The fourth proportional to 9,477, 13,078.26 and 5,285.25 is: 7,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477 : 13,078.26 = 5,285.25 : x
  2. Step 2: Convert to fraction form
    9,477/13,078.26 = 5,285.25/x
  3. Step 3: Cross multiply
    9,477x = 13,078.26 × 5,285.25
  4. Step 4: Simplify right side
    9,477x = 69,121,873.67
  5. Step 5: Solve for x
    x = 69,121,873.67/9,477
  6. Step 6: Final answer
    x = 7,293.65

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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.