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Finding the Fourth Proportional to 4,482, 6,186.78 and 3,088.80

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Solution

The fourth proportional to 4,482, 6,186.78 and 3,088.80 is: 4,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482 : 6,186.78 = 3,088.80 : x
  2. Step 2: Convert to fraction form
    4,482/6,186.78 = 3,088.80/x
  3. Step 3: Cross multiply
    4,482x = 6,186.78 × 3,088.80
  4. Step 4: Simplify right side
    4,482x = 19,109,726.06
  5. Step 5: Solve for x
    x = 19,109,726.06/4,482
  6. Step 6: Final answer
    x = 4,263.66

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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.