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Finding the Fourth Proportional to 4,931, 7,392.85 and 2,982.77

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Solution

The fourth proportional to 4,931, 7,392.85 and 2,982.77 is: 4,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931 : 7,392.85 = 2,982.77 : x
  2. Step 2: Convert to fraction form
    4,931/7,392.85 = 2,982.77/x
  3. Step 3: Cross multiply
    4,931x = 7,392.85 × 2,982.77
  4. Step 4: Simplify right side
    4,931x = 22,051,171.19
  5. Step 5: Solve for x
    x = 22,051,171.19/4,931
  6. Step 6: Final answer
    x = 4,471.95

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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.