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Finding the Fourth Proportional to 21,806.76, 32,708.40 and 7,766.16

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Solution

The fourth proportional to 21,806.76, 32,708.40 and 7,766.16 is: 11,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.76 : 32,708.40 = 7,766.16 : x
  2. Step 2: Convert to fraction form
    21,806.76/32,708.40 = 7,766.16/x
  3. Step 3: Cross multiply
    21,806.76x = 32,708.40 × 7,766.16
  4. Step 4: Simplify right side
    21,806.76x = 254,018,667.74
  5. Step 5: Solve for x
    x = 254,018,667.74/21,806.76
  6. Step 6: Final answer
    x = 11,648.62

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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.