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Finding the Fourth Proportional to 2,305.02, 3,457.02 and 918.10

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Solution

The fourth proportional to 2,305.02, 3,457.02 and 918.10 is: 1,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.02 : 3,457.02 = 918.10 : x
  2. Step 2: Convert to fraction form
    2,305.02/3,457.02 = 918.10/x
  3. Step 3: Cross multiply
    2,305.02x = 3,457.02 × 918.10
  4. Step 4: Simplify right side
    2,305.02x = 3,173,890.06
  5. Step 5: Solve for x
    x = 3,173,890.06/2,305.02
  6. Step 6: Final answer
    x = 1,376.95

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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.