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Finding the Fourth Proportional to 4,929, 6,802.64 and 2,939.55

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Solution

The fourth proportional to 4,929, 6,802.64 and 2,939.55 is: 4,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929 : 6,802.64 = 2,939.55 : x
  2. Step 2: Convert to fraction form
    4,929/6,802.64 = 2,939.55/x
  3. Step 3: Cross multiply
    4,929x = 6,802.64 × 2,939.55
  4. Step 4: Simplify right side
    4,929x = 19,996,700.41
  5. Step 5: Solve for x
    x = 19,996,700.41/4,929
  6. Step 6: Final answer
    x = 4,056.95

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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.