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Finding the Fourth Proportional to 5,509.64, 7,605.15 and 3,154.16

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Solution

The fourth proportional to 5,509.64, 7,605.15 and 3,154.16 is: 4,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.64 : 7,605.15 = 3,154.16 : x
  2. Step 2: Convert to fraction form
    5,509.64/7,605.15 = 3,154.16/x
  3. Step 3: Cross multiply
    5,509.64x = 7,605.15 × 3,154.16
  4. Step 4: Simplify right side
    5,509.64x = 23,987,859.92
  5. Step 5: Solve for x
    x = 23,987,859.92/5,509.64
  6. Step 6: Final answer
    x = 4,353.80

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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.