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Finding the Fourth Proportional to 2,929.32, 4,393.92 and 738

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Solution

The fourth proportional to 2,929.32, 4,393.92 and 738 is: 1,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.32 : 4,393.92 = 738 : x
  2. Step 2: Convert to fraction form
    2,929.32/4,393.92 = 738/x
  3. Step 3: Cross multiply
    2,929.32x = 4,393.92 × 738
  4. Step 4: Simplify right side
    2,929.32x = 3,242,712.96
  5. Step 5: Solve for x
    x = 3,242,712.96/2,929.32
  6. Step 6: Final answer
    x = 1,106.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.