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Finding the Fourth Proportional to 2,445.14, 3,670.44 and 985.32

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Solution

The fourth proportional to 2,445.14, 3,670.44 and 985.32 is: 1,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.14 : 3,670.44 = 985.32 : x
  2. Step 2: Convert to fraction form
    2,445.14/3,670.44 = 985.32/x
  3. Step 3: Cross multiply
    2,445.14x = 3,670.44 × 985.32
  4. Step 4: Simplify right side
    2,445.14x = 3,616,557.94
  5. Step 5: Solve for x
    x = 3,616,557.94/2,445.14
  6. Step 6: Final answer
    x = 1,479.08

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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.