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Finding the Fourth Proportional to 6,430.64, 9,634.94 and 3,511

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Solution

The fourth proportional to 6,430.64, 9,634.94 and 3,511 is: 5,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.64 : 9,634.94 = 3,511 : x
  2. Step 2: Convert to fraction form
    6,430.64/9,634.94 = 3,511/x
  3. Step 3: Cross multiply
    6,430.64x = 9,634.94 × 3,511
  4. Step 4: Simplify right side
    6,430.64x = 33,828,274.34
  5. Step 5: Solve for x
    x = 33,828,274.34/6,430.64
  6. Step 6: Final answer
    x = 5,260.48

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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.