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Finding the Fourth Proportional to 5,247.52, 7,870.80 and 1,784.56

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Solution

The fourth proportional to 5,247.52, 7,870.80 and 1,784.56 is: 2,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.52 : 7,870.80 = 1,784.56 : x
  2. Step 2: Convert to fraction form
    5,247.52/7,870.80 = 1,784.56/x
  3. Step 3: Cross multiply
    5,247.52x = 7,870.80 × 1,784.56
  4. Step 4: Simplify right side
    5,247.52x = 14,045,914.85
  5. Step 5: Solve for x
    x = 14,045,914.85/5,247.52
  6. Step 6: Final answer
    x = 2,676.68

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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.