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Finding the Fourth Proportional to 12,657.90, 18,986.85 and 3,423.90

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Solution

The fourth proportional to 12,657.90, 18,986.85 and 3,423.90 is: 5,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.90 : 18,986.85 = 3,423.90 : x
  2. Step 2: Convert to fraction form
    12,657.90/18,986.85 = 3,423.90/x
  3. Step 3: Cross multiply
    12,657.90x = 18,986.85 × 3,423.90
  4. Step 4: Simplify right side
    12,657.90x = 65,009,075.72
  5. Step 5: Solve for x
    x = 65,009,075.72/12,657.90
  6. Step 6: Final answer
    x = 5,135.85

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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.