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Finding the Fourth Proportional to 1,985.15, 2,976.96 and 944.35

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Solution

The fourth proportional to 1,985.15, 2,976.96 and 944.35 is: 1,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.15 : 2,976.96 = 944.35 : x
  2. Step 2: Convert to fraction form
    1,985.15/2,976.96 = 944.35/x
  3. Step 3: Cross multiply
    1,985.15x = 2,976.96 × 944.35
  4. Step 4: Simplify right side
    1,985.15x = 2,811,292.18
  5. Step 5: Solve for x
    x = 2,811,292.18/1,985.15
  6. Step 6: Final answer
    x = 1,416.16

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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.