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Finding the Fourth Proportional to 2,930.32, 4,044 and 1,688.32

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Solution

The fourth proportional to 2,930.32, 4,044 and 1,688.32 is: 2,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.32 : 4,044 = 1,688.32 : x
  2. Step 2: Convert to fraction form
    2,930.32/4,044 = 1,688.32/x
  3. Step 3: Cross multiply
    2,930.32x = 4,044 × 1,688.32
  4. Step 4: Simplify right side
    2,930.32x = 6,827,566.08
  5. Step 5: Solve for x
    x = 6,827,566.08/2,930.32
  6. Step 6: Final answer
    x = 2,329.97

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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.