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Finding the Fourth Proportional to 4,340, 6,511.08 and 1,262

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Solution

The fourth proportional to 4,340, 6,511.08 and 1,262 is: 1,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340 : 6,511.08 = 1,262 : x
  2. Step 2: Convert to fraction form
    4,340/6,511.08 = 1,262/x
  3. Step 3: Cross multiply
    4,340x = 6,511.08 × 1,262
  4. Step 4: Simplify right side
    4,340x = 8,216,982.96
  5. Step 5: Solve for x
    x = 8,216,982.96/4,340
  6. Step 6: Final answer
    x = 1,893.31

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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.