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Finding the Fourth Proportional to 5,228.46, 7,842.90 and 1,332.90

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Solution

The fourth proportional to 5,228.46, 7,842.90 and 1,332.90 is: 1,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.46 : 7,842.90 = 1,332.90 : x
  2. Step 2: Convert to fraction form
    5,228.46/7,842.90 = 1,332.90/x
  3. Step 3: Cross multiply
    5,228.46x = 7,842.90 × 1,332.90
  4. Step 4: Simplify right side
    5,228.46x = 10,453,801.41
  5. Step 5: Solve for x
    x = 10,453,801.41/5,228.46
  6. Step 6: Final answer
    x = 1,999.40

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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.