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Finding the Fourth Proportional to 4,680, 7,022.88 and 1,944

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Solution

The fourth proportional to 4,680, 7,022.88 and 1,944 is: 2,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680 : 7,022.88 = 1,944 : x
  2. Step 2: Convert to fraction form
    4,680/7,022.88 = 1,944/x
  3. Step 3: Cross multiply
    4,680x = 7,022.88 × 1,944
  4. Step 4: Simplify right side
    4,680x = 13,652,478.72
  5. Step 5: Solve for x
    x = 13,652,478.72/4,680
  6. Step 6: Final answer
    x = 2,917.20

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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.