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Finding the Fourth Proportional to 3,051.90, 4,577.45 and 860.81

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Solution

The fourth proportional to 3,051.90, 4,577.45 and 860.81 is: 1,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.90 : 4,577.45 = 860.81 : x
  2. Step 2: Convert to fraction form
    3,051.90/4,577.45 = 860.81/x
  3. Step 3: Cross multiply
    3,051.90x = 4,577.45 × 860.81
  4. Step 4: Simplify right side
    3,051.90x = 3,940,301.14
  5. Step 5: Solve for x
    x = 3,940,301.14/3,051.90
  6. Step 6: Final answer
    x = 1,291.10

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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.