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Finding the Fourth Proportional to 2,345.46, 3,518.07 and 958.32

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Solution

The fourth proportional to 2,345.46, 3,518.07 and 958.32 is: 1,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.46 : 3,518.07 = 958.32 : x
  2. Step 2: Convert to fraction form
    2,345.46/3,518.07 = 958.32/x
  3. Step 3: Cross multiply
    2,345.46x = 3,518.07 × 958.32
  4. Step 4: Simplify right side
    2,345.46x = 3,371,436.84
  5. Step 5: Solve for x
    x = 3,371,436.84/2,345.46
  6. Step 6: Final answer
    x = 1,437.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.