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Finding the Fourth Proportional to 7,083.12, 9,774.90 and 4,287

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Solution

The fourth proportional to 7,083.12, 9,774.90 and 4,287 is: 5,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.12 : 9,774.90 = 4,287 : x
  2. Step 2: Convert to fraction form
    7,083.12/9,774.90 = 4,287/x
  3. Step 3: Cross multiply
    7,083.12x = 9,774.90 × 4,287
  4. Step 4: Simplify right side
    7,083.12x = 41,904,996.30
  5. Step 5: Solve for x
    x = 41,904,996.30/7,083.12
  6. Step 6: Final answer
    x = 5,916.18

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1.5x scale

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.