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Finding the Fourth Proportional to 7,113.62, 10,649.34 and 5,272.98

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Solution

The fourth proportional to 7,113.62, 10,649.34 and 5,272.98 is: 7,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.62 : 10,649.34 = 5,272.98 : x
  2. Step 2: Convert to fraction form
    7,113.62/10,649.34 = 5,272.98/x
  3. Step 3: Cross multiply
    7,113.62x = 10,649.34 × 5,272.98
  4. Step 4: Simplify right side
    7,113.62x = 56,153,756.83
  5. Step 5: Solve for x
    x = 56,153,756.83/7,113.62
  6. Step 6: Final answer
    x = 7,893.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.