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Finding the Fourth Proportional to 7,102.53, 10,642.68 and 4,500

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Solution

The fourth proportional to 7,102.53, 10,642.68 and 4,500 is: 6,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.53 : 10,642.68 = 4,500 : x
  2. Step 2: Convert to fraction form
    7,102.53/10,642.68 = 4,500/x
  3. Step 3: Cross multiply
    7,102.53x = 10,642.68 × 4,500
  4. Step 4: Simplify right side
    7,102.53x = 47,892,060
  5. Step 5: Solve for x
    x = 47,892,060/7,102.53
  6. Step 6: Final answer
    x = 6,742.96

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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.