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Finding the Fourth Proportional to 3,492.99, 5,239.43 and 1,412.98

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Solution

The fourth proportional to 3,492.99, 5,239.43 and 1,412.98 is: 2,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.99 : 5,239.43 = 1,412.98 : x
  2. Step 2: Convert to fraction form
    3,492.99/5,239.43 = 1,412.98/x
  3. Step 3: Cross multiply
    3,492.99x = 5,239.43 × 1,412.98
  4. Step 4: Simplify right side
    3,492.99x = 7,403,200.24
  5. Step 5: Solve for x
    x = 7,403,200.24/3,492.99
  6. Step 6: Final answer
    x = 2,119.45

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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.