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Finding the Fourth Proportional to 5,783.20, 8,674.82 and 1,400.65

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Solution

The fourth proportional to 5,783.20, 8,674.82 and 1,400.65 is: 2,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.20 : 8,674.82 = 1,400.65 : x
  2. Step 2: Convert to fraction form
    5,783.20/8,674.82 = 1,400.65/x
  3. Step 3: Cross multiply
    5,783.20x = 8,674.82 × 1,400.65
  4. Step 4: Simplify right side
    5,783.20x = 12,150,386.63
  5. Step 5: Solve for x
    x = 12,150,386.63/5,783.20
  6. Step 6: Final answer
    x = 2,100.98

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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.