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Finding the Fourth Proportional to 8,003.51, 12,003.80 and 2,158.74

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Solution

The fourth proportional to 8,003.51, 12,003.80 and 2,158.74 is: 3,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.51 : 12,003.80 = 2,158.74 : x
  2. Step 2: Convert to fraction form
    8,003.51/12,003.80 = 2,158.74/x
  3. Step 3: Cross multiply
    8,003.51x = 12,003.80 × 2,158.74
  4. Step 4: Simplify right side
    8,003.51x = 25,913,072.42
  5. Step 5: Solve for x
    x = 25,913,072.42/8,003.51
  6. Step 6: Final answer
    x = 3,237.72

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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.