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Finding the Fourth Proportional to 3,953.09, 5,928.96 and 1,320.30

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Solution

The fourth proportional to 3,953.09, 5,928.96 and 1,320.30 is: 1,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.09 : 5,928.96 = 1,320.30 : x
  2. Step 2: Convert to fraction form
    3,953.09/5,928.96 = 1,320.30/x
  3. Step 3: Cross multiply
    3,953.09x = 5,928.96 × 1,320.30
  4. Step 4: Simplify right side
    3,953.09x = 7,827,999.72
  5. Step 5: Solve for x
    x = 7,827,999.72/3,953.09
  6. Step 6: Final answer
    x = 1,980.22

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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.