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Finding the Fourth Proportional to 6,437.63, 9,657 and 1,820.63

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Solution

The fourth proportional to 6,437.63, 9,657 and 1,820.63 is: 2,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.63 : 9,657 = 1,820.63 : x
  2. Step 2: Convert to fraction form
    6,437.63/9,657 = 1,820.63/x
  3. Step 3: Cross multiply
    6,437.63x = 9,657 × 1,820.63
  4. Step 4: Simplify right side
    6,437.63x = 17,581,775.63
  5. Step 5: Solve for x
    x = 17,581,775.63/6,437.63
  6. Step 6: Final answer
    x = 2,731.10

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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.