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Finding the Fourth Proportional to 6,894.28, 9,509.84 and 6,012.20

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Solution

The fourth proportional to 6,894.28, 9,509.84 and 6,012.20 is: 8,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.28 : 9,509.84 = 6,012.20 : x
  2. Step 2: Convert to fraction form
    6,894.28/9,509.84 = 6,012.20/x
  3. Step 3: Cross multiply
    6,894.28x = 9,509.84 × 6,012.20
  4. Step 4: Simplify right side
    6,894.28x = 57,175,060.05
  5. Step 5: Solve for x
    x = 57,175,060.05/6,894.28
  6. Step 6: Final answer
    x = 8,293.12

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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.