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Finding the Fourth Proportional to 9,765.64, 14,645.10 and 3,190.20

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Solution

The fourth proportional to 9,765.64, 14,645.10 and 3,190.20 is: 4,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.64 : 14,645.10 = 3,190.20 : x
  2. Step 2: Convert to fraction form
    9,765.64/14,645.10 = 3,190.20/x
  3. Step 3: Cross multiply
    9,765.64x = 14,645.10 × 3,190.20
  4. Step 4: Simplify right side
    9,765.64x = 46,720,798.02
  5. Step 5: Solve for x
    x = 46,720,798.02/9,765.64
  6. Step 6: Final answer
    x = 4,784.20

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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.