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Finding the Fourth Proportional to 4,321.13, 6,483.86 and 1,981.13

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Solution

The fourth proportional to 4,321.13, 6,483.86 and 1,981.13 is: 2,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.13 : 6,483.86 = 1,981.13 : x
  2. Step 2: Convert to fraction form
    4,321.13/6,483.86 = 1,981.13/x
  3. Step 3: Cross multiply
    4,321.13x = 6,483.86 × 1,981.13
  4. Step 4: Simplify right side
    4,321.13x = 12,845,327.24
  5. Step 5: Solve for x
    x = 12,845,327.24/4,321.13
  6. Step 6: Final answer
    x = 2,972.68

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1.5x scale

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.