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Finding the Fourth Proportional to 6,511, 9,763.44 and 2,810.92

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Solution

The fourth proportional to 6,511, 9,763.44 and 2,810.92 is: 4,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511 : 9,763.44 = 2,810.92 : x
  2. Step 2: Convert to fraction form
    6,511/9,763.44 = 2,810.92/x
  3. Step 3: Cross multiply
    6,511x = 9,763.44 × 2,810.92
  4. Step 4: Simplify right side
    6,511x = 27,444,248.76
  5. Step 5: Solve for x
    x = 27,444,248.76/6,511
  6. Step 6: Final answer
    x = 4,215.06

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1.5x scale

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.