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Finding the Fourth Proportional to 5,287.44, 7,928.48 and 1,776.24

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Solution

The fourth proportional to 5,287.44, 7,928.48 and 1,776.24 is: 2,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.44 : 7,928.48 = 1,776.24 : x
  2. Step 2: Convert to fraction form
    5,287.44/7,928.48 = 1,776.24/x
  3. Step 3: Cross multiply
    5,287.44x = 7,928.48 × 1,776.24
  4. Step 4: Simplify right side
    5,287.44x = 14,082,883.32
  5. Step 5: Solve for x
    x = 14,082,883.32/5,287.44
  6. Step 6: Final answer
    x = 2,663.46

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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.