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Finding the Fourth Proportional to 2,317.60, 3,472.80 and 1,950.40

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Solution

The fourth proportional to 2,317.60, 3,472.80 and 1,950.40 is: 2,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.60 : 3,472.80 = 1,950.40 : x
  2. Step 2: Convert to fraction form
    2,317.60/3,472.80 = 1,950.40/x
  3. Step 3: Cross multiply
    2,317.60x = 3,472.80 × 1,950.40
  4. Step 4: Simplify right side
    2,317.60x = 6,773,349.12
  5. Step 5: Solve for x
    x = 6,773,349.12/2,317.60
  6. Step 6: Final answer
    x = 2,922.57

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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.