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Finding the Fourth Proportional to 2,929.05, 4,042.16 and 1,602.87

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Solution

The fourth proportional to 2,929.05, 4,042.16 and 1,602.87 is: 2,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.05 : 4,042.16 = 1,602.87 : x
  2. Step 2: Convert to fraction form
    2,929.05/4,042.16 = 1,602.87/x
  3. Step 3: Cross multiply
    2,929.05x = 4,042.16 × 1,602.87
  4. Step 4: Simplify right side
    2,929.05x = 6,479,048.98
  5. Step 5: Solve for x
    x = 6,479,048.98/2,929.05
  6. Step 6: Final answer
    x = 2,212.00

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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.