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Finding the Fourth Proportional to 5,604.64, 7,734.88 and 3,087.24

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Solution

The fourth proportional to 5,604.64, 7,734.88 and 3,087.24 is: 4,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.64 : 7,734.88 = 3,087.24 : x
  2. Step 2: Convert to fraction form
    5,604.64/7,734.88 = 3,087.24/x
  3. Step 3: Cross multiply
    5,604.64x = 7,734.88 × 3,087.24
  4. Step 4: Simplify right side
    5,604.64x = 23,879,430.93
  5. Step 5: Solve for x
    x = 23,879,430.93/5,604.64
  6. Step 6: Final answer
    x = 4,260.65

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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.