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Finding the Fourth Proportional to 7,830.48, 11,737.48 and 2,896.96

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Solution

The fourth proportional to 7,830.48, 11,737.48 and 2,896.96 is: 4,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.48 : 11,737.48 = 2,896.96 : x
  2. Step 2: Convert to fraction form
    7,830.48/11,737.48 = 2,896.96/x
  3. Step 3: Cross multiply
    7,830.48x = 11,737.48 × 2,896.96
  4. Step 4: Simplify right side
    7,830.48x = 34,003,010.06
  5. Step 5: Solve for x
    x = 34,003,010.06/7,830.48
  6. Step 6: Final answer
    x = 4,342.39

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1.5x scale

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.