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Finding the Fourth Proportional to 8,349, 11,520.42 and 7,095.08

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Solution

The fourth proportional to 8,349, 11,520.42 and 7,095.08 is: 9,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349 : 11,520.42 = 7,095.08 : x
  2. Step 2: Convert to fraction form
    8,349/11,520.42 = 7,095.08/x
  3. Step 3: Cross multiply
    8,349x = 11,520.42 × 7,095.08
  4. Step 4: Simplify right side
    8,349x = 81,738,301.53
  5. Step 5: Solve for x
    x = 81,738,301.53/8,349
  6. Step 6: Final answer
    x = 9,790.19

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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.