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Finding the Fourth Proportional to 9,085, 12,538.64 and 5,550.24

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Solution

The fourth proportional to 9,085, 12,538.64 and 5,550.24 is: 7,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085 : 12,538.64 = 5,550.24 : x
  2. Step 2: Convert to fraction form
    9,085/12,538.64 = 5,550.24/x
  3. Step 3: Cross multiply
    9,085x = 12,538.64 × 5,550.24
  4. Step 4: Simplify right side
    9,085x = 69,592,461.27
  5. Step 5: Solve for x
    x = 69,592,461.27/9,085
  6. Step 6: Final answer
    x = 7,660.15

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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.