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Finding the Fourth Proportional to 15,757.80, 23,607.90 and 12,820.20

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Solution

The fourth proportional to 15,757.80, 23,607.90 and 12,820.20 is: 19,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.80 : 23,607.90 = 12,820.20 : x
  2. Step 2: Convert to fraction form
    15,757.80/23,607.90 = 12,820.20/x
  3. Step 3: Cross multiply
    15,757.80x = 23,607.90 × 12,820.20
  4. Step 4: Simplify right side
    15,757.80x = 302,657,999.58
  5. Step 5: Solve for x
    x = 302,657,999.58/15,757.80
  6. Step 6: Final answer
    x = 19,206.87

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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.