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Finding the Fourth Proportional to 5,126.80, 7,689.12 and 1,840.08

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Solution

The fourth proportional to 5,126.80, 7,689.12 and 1,840.08 is: 2,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.80 : 7,689.12 = 1,840.08 : x
  2. Step 2: Convert to fraction form
    5,126.80/7,689.12 = 1,840.08/x
  3. Step 3: Cross multiply
    5,126.80x = 7,689.12 × 1,840.08
  4. Step 4: Simplify right side
    5,126.80x = 14,148,595.93
  5. Step 5: Solve for x
    x = 14,148,595.93/5,126.80
  6. Step 6: Final answer
    x = 2,759.73

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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.