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Finding the Fourth Proportional to 9,764.64, 14,643.60 and 3,189.20

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Solution

The fourth proportional to 9,764.64, 14,643.60 and 3,189.20 is: 4,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.64 : 14,643.60 = 3,189.20 : x
  2. Step 2: Convert to fraction form
    9,764.64/14,643.60 = 3,189.20/x
  3. Step 3: Cross multiply
    9,764.64x = 14,643.60 × 3,189.20
  4. Step 4: Simplify right side
    9,764.64x = 46,701,295.90
  5. Step 5: Solve for x
    x = 46,701,295.90/9,764.64
  6. Step 6: Final answer
    x = 4,782.70

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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.