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Finding the Fourth Proportional to 2,429.83, 3,646.51 and 969.40

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Solution

The fourth proportional to 2,429.83, 3,646.51 and 969.40 is: 1,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.83 : 3,646.51 = 969.40 : x
  2. Step 2: Convert to fraction form
    2,429.83/3,646.51 = 969.40/x
  3. Step 3: Cross multiply
    2,429.83x = 3,646.51 × 969.40
  4. Step 4: Simplify right side
    2,429.83x = 3,534,926.79
  5. Step 5: Solve for x
    x = 3,534,926.79/2,429.83
  6. Step 6: Final answer
    x = 1,454.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.