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Finding the Fourth Proportional to 6,871.90, 9,482.71 and 4,219.34

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Solution

The fourth proportional to 6,871.90, 9,482.71 and 4,219.34 is: 5,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.90 : 9,482.71 = 4,219.34 : x
  2. Step 2: Convert to fraction form
    6,871.90/9,482.71 = 4,219.34/x
  3. Step 3: Cross multiply
    6,871.90x = 9,482.71 × 4,219.34
  4. Step 4: Simplify right side
    6,871.90x = 40,010,719.65
  5. Step 5: Solve for x
    x = 40,010,719.65/6,871.90
  6. Step 6: Final answer
    x = 5,822.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.