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Finding the Fourth Proportional to 6,686.16, 9,225 and 3,891.12

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Solution

The fourth proportional to 6,686.16, 9,225 and 3,891.12 is: 5,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.16 : 9,225 = 3,891.12 : x
  2. Step 2: Convert to fraction form
    6,686.16/9,225 = 3,891.12/x
  3. Step 3: Cross multiply
    6,686.16x = 9,225 × 3,891.12
  4. Step 4: Simplify right side
    6,686.16x = 35,895,582
  5. Step 5: Solve for x
    x = 35,895,582/6,686.16
  6. Step 6: Final answer
    x = 5,368.64

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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.