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Finding the Fourth Proportional to 1,310.35, 1,962.96 and 986.08

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Solution

The fourth proportional to 1,310.35, 1,962.96 and 986.08 is: 1,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.35 : 1,962.96 = 986.08 : x
  2. Step 2: Convert to fraction form
    1,310.35/1,962.96 = 986.08/x
  3. Step 3: Cross multiply
    1,310.35x = 1,962.96 × 986.08
  4. Step 4: Simplify right side
    1,310.35x = 1,935,635.60
  5. Step 5: Solve for x
    x = 1,935,635.60/1,310.35
  6. Step 6: Final answer
    x = 1,477.19

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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.