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Finding the Fourth Proportional to 2,406.34, 3,320.67 and 1,358.74

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Solution

The fourth proportional to 2,406.34, 3,320.67 and 1,358.74 is: 1,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.34 : 3,320.67 = 1,358.74 : x
  2. Step 2: Convert to fraction form
    2,406.34/3,320.67 = 1,358.74/x
  3. Step 3: Cross multiply
    2,406.34x = 3,320.67 × 1,358.74
  4. Step 4: Simplify right side
    2,406.34x = 4,511,927.16
  5. Step 5: Solve for x
    x = 4,511,927.16/2,406.34
  6. Step 6: Final answer
    x = 1,875.02

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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.