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Finding the Fourth Proportional to 5,102.56, 7,643.76 and 4,782.88

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Solution

The fourth proportional to 5,102.56, 7,643.76 and 4,782.88 is: 7,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.56 : 7,643.76 = 4,782.88 : x
  2. Step 2: Convert to fraction form
    5,102.56/7,643.76 = 4,782.88/x
  3. Step 3: Cross multiply
    5,102.56x = 7,643.76 × 4,782.88
  4. Step 4: Simplify right side
    5,102.56x = 36,559,186.83
  5. Step 5: Solve for x
    x = 36,559,186.83/5,102.56
  6. Step 6: Final answer
    x = 7,164.87

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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.