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Finding the Fourth Proportional to 3,492.60, 5,238.09 and 1,300.74

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Solution

The fourth proportional to 3,492.60, 5,238.09 and 1,300.74 is: 1,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.60 : 5,238.09 = 1,300.74 : x
  2. Step 2: Convert to fraction form
    3,492.60/5,238.09 = 1,300.74/x
  3. Step 3: Cross multiply
    3,492.60x = 5,238.09 × 1,300.74
  4. Step 4: Simplify right side
    3,492.60x = 6,813,393.19
  5. Step 5: Solve for x
    x = 6,813,393.19/3,492.60
  6. Step 6: Final answer
    x = 1,950.81

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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.