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Finding the Fourth Proportional to 2,625.63, 3,937.34 and 981.03

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Solution

The fourth proportional to 2,625.63, 3,937.34 and 981.03 is: 1,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.63 : 3,937.34 = 981.03 : x
  2. Step 2: Convert to fraction form
    2,625.63/3,937.34 = 981.03/x
  3. Step 3: Cross multiply
    2,625.63x = 3,937.34 × 981.03
  4. Step 4: Simplify right side
    2,625.63x = 3,862,643.76
  5. Step 5: Solve for x
    x = 3,862,643.76/2,625.63
  6. Step 6: Final answer
    x = 1,471.13

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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.