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Finding the Fourth Proportional to 2,889.76, 3,988.40 and 1,711.48

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Solution

The fourth proportional to 2,889.76, 3,988.40 and 1,711.48 is: 2,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.76 : 3,988.40 = 1,711.48 : x
  2. Step 2: Convert to fraction form
    2,889.76/3,988.40 = 1,711.48/x
  3. Step 3: Cross multiply
    2,889.76x = 3,988.40 × 1,711.48
  4. Step 4: Simplify right side
    2,889.76x = 6,826,066.83
  5. Step 5: Solve for x
    x = 6,826,066.83/2,889.76
  6. Step 6: Final answer
    x = 2,362.16

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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.