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Finding the Fourth Proportional to 6,492.74, 9,731.43 and 2,979.79

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Solution

The fourth proportional to 6,492.74, 9,731.43 and 2,979.79 is: 4,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.74 : 9,731.43 = 2,979.79 : x
  2. Step 2: Convert to fraction form
    6,492.74/9,731.43 = 2,979.79/x
  3. Step 3: Cross multiply
    6,492.74x = 9,731.43 × 2,979.79
  4. Step 4: Simplify right side
    6,492.74x = 28,997,618.79
  5. Step 5: Solve for x
    x = 28,997,618.79/6,492.74
  6. Step 6: Final answer
    x = 4,466.16

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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.