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Finding the Fourth Proportional to 5,228.64, 7,842.96 and 1,333.08

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Solution

The fourth proportional to 5,228.64, 7,842.96 and 1,333.08 is: 1,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.64 : 7,842.96 = 1,333.08 : x
  2. Step 2: Convert to fraction form
    5,228.64/7,842.96 = 1,333.08/x
  3. Step 3: Cross multiply
    5,228.64x = 7,842.96 × 1,333.08
  4. Step 4: Simplify right side
    5,228.64x = 10,455,293.12
  5. Step 5: Solve for x
    x = 10,455,293.12/5,228.64
  6. Step 6: Final answer
    x = 1,999.62

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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.