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Finding the Fourth Proportional to 7,781.80, 11,672.70 and 2,587.67

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Solution

The fourth proportional to 7,781.80, 11,672.70 and 2,587.67 is: 3,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.80 : 11,672.70 = 2,587.67 : x
  2. Step 2: Convert to fraction form
    7,781.80/11,672.70 = 2,587.67/x
  3. Step 3: Cross multiply
    7,781.80x = 11,672.70 × 2,587.67
  4. Step 4: Simplify right side
    7,781.80x = 30,205,095.61
  5. Step 5: Solve for x
    x = 30,205,095.61/7,781.80
  6. Step 6: Final answer
    x = 3,881.51

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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.