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Finding the Fourth Proportional to 1,761.76, 2,430.32 and 1,636.68

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Solution

The fourth proportional to 1,761.76, 2,430.32 and 1,636.68 is: 2,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.76 : 2,430.32 = 1,636.68 : x
  2. Step 2: Convert to fraction form
    1,761.76/2,430.32 = 1,636.68/x
  3. Step 3: Cross multiply
    1,761.76x = 2,430.32 × 1,636.68
  4. Step 4: Simplify right side
    1,761.76x = 3,977,656.14
  5. Step 5: Solve for x
    x = 3,977,656.14/1,761.76
  6. Step 6: Final answer
    x = 2,257.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.