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Finding the Fourth Proportional to 5,157.46, 7,739.27 and 1,870.12

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Solution

The fourth proportional to 5,157.46, 7,739.27 and 1,870.12 is: 2,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.46 : 7,739.27 = 1,870.12 : x
  2. Step 2: Convert to fraction form
    5,157.46/7,739.27 = 1,870.12/x
  3. Step 3: Cross multiply
    5,157.46x = 7,739.27 × 1,870.12
  4. Step 4: Simplify right side
    5,157.46x = 14,473,370.95
  5. Step 5: Solve for x
    x = 14,473,370.95/5,157.46
  6. Step 6: Final answer
    x = 2,806.30

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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.