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Finding the Fourth Proportional to 20,775.70, 31,159.00 and 5,981.41

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Solution

The fourth proportional to 20,775.70, 31,159.00 and 5,981.41 is: 8,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.70 : 31,159.00 = 5,981.41 : x
  2. Step 2: Convert to fraction form
    20,775.70/31,159.00 = 5,981.41/x
  3. Step 3: Cross multiply
    20,775.70x = 31,159.00 × 5,981.41
  4. Step 4: Simplify right side
    20,775.70x = 186,374,648.14
  5. Step 5: Solve for x
    x = 186,374,648.14/20,775.70
  6. Step 6: Final answer
    x = 8,970.80

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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.