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Finding the Fourth Proportional to 3,460.87, 4,776 and 1,888.97

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Solution

The fourth proportional to 3,460.87, 4,776 and 1,888.97 is: 2,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.87 : 4,776 = 1,888.97 : x
  2. Step 2: Convert to fraction form
    3,460.87/4,776 = 1,888.97/x
  3. Step 3: Cross multiply
    3,460.87x = 4,776 × 1,888.97
  4. Step 4: Simplify right side
    3,460.87x = 9,021,720.72
  5. Step 5: Solve for x
    x = 9,021,720.72/3,460.87
  6. Step 6: Final answer
    x = 2,606.78

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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.