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Finding the Fourth Proportional to 7,135.93, 10,704.50 and 1,870.93

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Solution

The fourth proportional to 7,135.93, 10,704.50 and 1,870.93 is: 2,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.93 : 10,704.50 = 1,870.93 : x
  2. Step 2: Convert to fraction form
    7,135.93/10,704.50 = 1,870.93/x
  3. Step 3: Cross multiply
    7,135.93x = 10,704.50 × 1,870.93
  4. Step 4: Simplify right side
    7,135.93x = 20,027,370.19
  5. Step 5: Solve for x
    x = 20,027,370.19/7,135.93
  6. Step 6: Final answer
    x = 2,806.55

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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.