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Finding the Fourth Proportional to 9,147.64, 13,722.30 and 4,218.64

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Solution

The fourth proportional to 9,147.64, 13,722.30 and 4,218.64 is: 6,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.64 : 13,722.30 = 4,218.64 : x
  2. Step 2: Convert to fraction form
    9,147.64/13,722.30 = 4,218.64/x
  3. Step 3: Cross multiply
    9,147.64x = 13,722.30 × 4,218.64
  4. Step 4: Simplify right side
    9,147.64x = 57,889,443.67
  5. Step 5: Solve for x
    x = 57,889,443.67/9,147.64
  6. Step 6: Final answer
    x = 6,328.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.