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Finding the Fourth Proportional to 6,376.89, 8,782.50 and 5,492.37

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Solution

The fourth proportional to 6,376.89, 8,782.50 and 5,492.37 is: 7,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.89 : 8,782.50 = 5,492.37 : x
  2. Step 2: Convert to fraction form
    6,376.89/8,782.50 = 5,492.37/x
  3. Step 3: Cross multiply
    6,376.89x = 8,782.50 × 5,492.37
  4. Step 4: Simplify right side
    6,376.89x = 48,236,739.53
  5. Step 5: Solve for x
    x = 48,236,739.53/6,376.89
  6. Step 6: Final answer
    x = 7,564.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.