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Finding the Fourth Proportional to 2,434.40, 3,645.50 and 1,948.40

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Solution

The fourth proportional to 2,434.40, 3,645.50 and 1,948.40 is: 2,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.40 : 3,645.50 = 1,948.40 : x
  2. Step 2: Convert to fraction form
    2,434.40/3,645.50 = 1,948.40/x
  3. Step 3: Cross multiply
    2,434.40x = 3,645.50 × 1,948.40
  4. Step 4: Simplify right side
    2,434.40x = 7,102,892.20
  5. Step 5: Solve for x
    x = 7,102,892.20/2,434.40
  6. Step 6: Final answer
    x = 2,917.72

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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.