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Finding the Fourth Proportional to 8,671.95, 13,007.25 and 2,431.63

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Solution

The fourth proportional to 8,671.95, 13,007.25 and 2,431.63 is: 3,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.95 : 13,007.25 = 2,431.63 : x
  2. Step 2: Convert to fraction form
    8,671.95/13,007.25 = 2,431.63/x
  3. Step 3: Cross multiply
    8,671.95x = 13,007.25 × 2,431.63
  4. Step 4: Simplify right side
    8,671.95x = 31,628,742.12
  5. Step 5: Solve for x
    x = 31,628,742.12/8,671.95
  6. Step 6: Final answer
    x = 3,647.25

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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.