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Finding the Fourth Proportional to 6,852.08, 10,208.02 and 6,521.84

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Solution

The fourth proportional to 6,852.08, 10,208.02 and 6,521.84 is: 9,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.08 : 10,208.02 = 6,521.84 : x
  2. Step 2: Convert to fraction form
    6,852.08/10,208.02 = 6,521.84/x
  3. Step 3: Cross multiply
    6,852.08x = 10,208.02 × 6,521.84
  4. Step 4: Simplify right side
    6,852.08x = 66,575,073.16
  5. Step 5: Solve for x
    x = 66,575,073.16/6,852.08
  6. Step 6: Final answer
    x = 9,716.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.