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Finding the Fourth Proportional to 20,705.60, 31,090.80 and 15,780.80

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Solution

The fourth proportional to 20,705.60, 31,090.80 and 15,780.80 is: 23,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.60 : 31,090.80 = 15,780.80 : x
  2. Step 2: Convert to fraction form
    20,705.60/31,090.80 = 15,780.80/x
  3. Step 3: Cross multiply
    20,705.60x = 31,090.80 × 15,780.80
  4. Step 4: Simplify right side
    20,705.60x = 490,637,696.64
  5. Step 5: Solve for x
    x = 490,637,696.64/20,705.60
  6. Step 6: Final answer
    x = 23,695.89

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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.