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Finding the Fourth Proportional to 3,492.61, 5,239.26 and 1,300.81

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Solution

The fourth proportional to 3,492.61, 5,239.26 and 1,300.81 is: 1,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.61 : 5,239.26 = 1,300.81 : x
  2. Step 2: Convert to fraction form
    3,492.61/5,239.26 = 1,300.81/x
  3. Step 3: Cross multiply
    3,492.61x = 5,239.26 × 1,300.81
  4. Step 4: Simplify right side
    3,492.61x = 6,815,281.80
  5. Step 5: Solve for x
    x = 6,815,281.80/3,492.61
  6. Step 6: Final answer
    x = 1,951.34

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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.