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Finding the Fourth Proportional to 5,076, 7,005.69 and 2,979.72

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Solution

The fourth proportional to 5,076, 7,005.69 and 2,979.72 is: 4,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076 : 7,005.69 = 2,979.72 : x
  2. Step 2: Convert to fraction form
    5,076/7,005.69 = 2,979.72/x
  3. Step 3: Cross multiply
    5,076x = 7,005.69 × 2,979.72
  4. Step 4: Simplify right side
    5,076x = 20,874,994.61
  5. Step 5: Solve for x
    x = 20,874,994.61/5,076
  6. Step 6: Final answer
    x = 4,112.49

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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.