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Finding the Fourth Proportional to 6,862.80, 9,470.84 and 4,208.64

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Solution

The fourth proportional to 6,862.80, 9,470.84 and 4,208.64 is: 5,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.80 : 9,470.84 = 4,208.64 : x
  2. Step 2: Convert to fraction form
    6,862.80/9,470.84 = 4,208.64/x
  3. Step 3: Cross multiply
    6,862.80x = 9,470.84 × 4,208.64
  4. Step 4: Simplify right side
    6,862.80x = 39,859,356.06
  5. Step 5: Solve for x
    x = 39,859,356.06/6,862.80
  6. Step 6: Final answer
    x = 5,808.03

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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.