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Finding the Fourth Proportional to 7,781.65, 11,660.63 and 5,703.03

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Solution

The fourth proportional to 7,781.65, 11,660.63 and 5,703.03 is: 8,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.65 : 11,660.63 = 5,703.03 : x
  2. Step 2: Convert to fraction form
    7,781.65/11,660.63 = 5,703.03/x
  3. Step 3: Cross multiply
    7,781.65x = 11,660.63 × 5,703.03
  4. Step 4: Simplify right side
    7,781.65x = 66,500,894.19
  5. Step 5: Solve for x
    x = 66,500,894.19/7,781.65
  6. Step 6: Final answer
    x = 8,545.86

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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.