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Finding the Fourth Proportional to 4,187, 6,272.28 and 2,870.54

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Solution

The fourth proportional to 4,187, 6,272.28 and 2,870.54 is: 4,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187 : 6,272.28 = 2,870.54 : x
  2. Step 2: Convert to fraction form
    4,187/6,272.28 = 2,870.54/x
  3. Step 3: Cross multiply
    4,187x = 6,272.28 × 2,870.54
  4. Step 4: Simplify right side
    4,187x = 18,004,830.63
  5. Step 5: Solve for x
    x = 18,004,830.63/4,187
  6. Step 6: Final answer
    x = 4,300.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.