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Finding the Fourth Proportional to 2,402.48, 3,315.42 and 1,407.56

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Solution

The fourth proportional to 2,402.48, 3,315.42 and 1,407.56 is: 1,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.48 : 3,315.42 = 1,407.56 : x
  2. Step 2: Convert to fraction form
    2,402.48/3,315.42 = 1,407.56/x
  3. Step 3: Cross multiply
    2,402.48x = 3,315.42 × 1,407.56
  4. Step 4: Simplify right side
    2,402.48x = 4,666,636.00
  5. Step 5: Solve for x
    x = 4,666,636.00/2,402.48
  6. Step 6: Final answer
    x = 1,942.43

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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.