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Finding the Fourth Proportional to 4,070, 6,104.72 and 1,296.80

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Solution

The fourth proportional to 4,070, 6,104.72 and 1,296.80 is: 1,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070 : 6,104.72 = 1,296.80 : x
  2. Step 2: Convert to fraction form
    4,070/6,104.72 = 1,296.80/x
  3. Step 3: Cross multiply
    4,070x = 6,104.72 × 1,296.80
  4. Step 4: Simplify right side
    4,070x = 7,916,600.90
  5. Step 5: Solve for x
    x = 7,916,600.90/4,070
  6. Step 6: Final answer
    x = 1,945.11

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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.