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Finding the Fourth Proportional to 1,886.66, 2,602.03 and 1,288.14

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Solution

The fourth proportional to 1,886.66, 2,602.03 and 1,288.14 is: 1,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.66 : 2,602.03 = 1,288.14 : x
  2. Step 2: Convert to fraction form
    1,886.66/2,602.03 = 1,288.14/x
  3. Step 3: Cross multiply
    1,886.66x = 2,602.03 × 1,288.14
  4. Step 4: Simplify right side
    1,886.66x = 3,351,778.92
  5. Step 5: Solve for x
    x = 3,351,778.92/1,886.66
  6. Step 6: Final answer
    x = 1,776.57

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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.