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Finding the Fourth Proportional to 5,803.51, 8,705.17 and 1,420.96

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Solution

The fourth proportional to 5,803.51, 8,705.17 and 1,420.96 is: 2,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.51 : 8,705.17 = 1,420.96 : x
  2. Step 2: Convert to fraction form
    5,803.51/8,705.17 = 1,420.96/x
  3. Step 3: Cross multiply
    5,803.51x = 8,705.17 × 1,420.96
  4. Step 4: Simplify right side
    5,803.51x = 12,369,720.13
  5. Step 5: Solve for x
    x = 12,369,720.13/5,803.51
  6. Step 6: Final answer
    x = 2,131.42

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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.