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Finding the Fourth Proportional to 5,156.84, 7,732.01 and 1,869.86

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Solution

The fourth proportional to 5,156.84, 7,732.01 and 1,869.86 is: 2,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.84 : 7,732.01 = 1,869.86 : x
  2. Step 2: Convert to fraction form
    5,156.84/7,732.01 = 1,869.86/x
  3. Step 3: Cross multiply
    5,156.84x = 7,732.01 × 1,869.86
  4. Step 4: Simplify right side
    5,156.84x = 14,457,742.23
  5. Step 5: Solve for x
    x = 14,457,742.23/5,156.84
  6. Step 6: Final answer
    x = 2,803.61

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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.