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Finding the Fourth Proportional to 2,100.40, 2,896.68 and 1,402.48

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Solution

The fourth proportional to 2,100.40, 2,896.68 and 1,402.48 is: 1,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.40 : 2,896.68 = 1,402.48 : x
  2. Step 2: Convert to fraction form
    2,100.40/2,896.68 = 1,402.48/x
  3. Step 3: Cross multiply
    2,100.40x = 2,896.68 × 1,402.48
  4. Step 4: Simplify right side
    2,100.40x = 4,062,535.77
  5. Step 5: Solve for x
    x = 4,062,535.77/2,100.40
  6. Step 6: Final answer
    x = 1,934.17

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