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Finding the Fourth Proportional to 2,888.46, 3,985.92 and 1,769

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Solution

The fourth proportional to 2,888.46, 3,985.92 and 1,769 is: 2,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.46 : 3,985.92 = 1,769 : x
  2. Step 2: Convert to fraction form
    2,888.46/3,985.92 = 1,769/x
  3. Step 3: Cross multiply
    2,888.46x = 3,985.92 × 1,769
  4. Step 4: Simplify right side
    2,888.46x = 7,051,092.48
  5. Step 5: Solve for x
    x = 7,051,092.48/2,888.46
  6. Step 6: Final answer
    x = 2,441.13

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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.