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Finding the Fourth Proportional to 5,187.44, 7,782.72 and 1,724.72

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Solution

The fourth proportional to 5,187.44, 7,782.72 and 1,724.72 is: 2,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.44 : 7,782.72 = 1,724.72 : x
  2. Step 2: Convert to fraction form
    5,187.44/7,782.72 = 1,724.72/x
  3. Step 3: Cross multiply
    5,187.44x = 7,782.72 × 1,724.72
  4. Step 4: Simplify right side
    5,187.44x = 13,423,012.84
  5. Step 5: Solve for x
    x = 13,423,012.84/5,187.44
  6. Step 6: Final answer
    x = 2,587.60

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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.