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Finding the Fourth Proportional to 5,803.71, 8,705.67 and 1,421.20

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Solution

The fourth proportional to 5,803.71, 8,705.67 and 1,421.20 is: 2,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.71 : 8,705.67 = 1,421.20 : x
  2. Step 2: Convert to fraction form
    5,803.71/8,705.67 = 1,421.20/x
  3. Step 3: Cross multiply
    5,803.71x = 8,705.67 × 1,421.20
  4. Step 4: Simplify right side
    5,803.71x = 12,372,498.20
  5. Step 5: Solve for x
    x = 12,372,498.20/5,803.71
  6. Step 6: Final answer
    x = 2,131.83

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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.