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Finding the Fourth Proportional to 5,156.51, 7,734.89 and 1,459.13

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Solution

The fourth proportional to 5,156.51, 7,734.89 and 1,459.13 is: 2,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.51 : 7,734.89 = 1,459.13 : x
  2. Step 2: Convert to fraction form
    5,156.51/7,734.89 = 1,459.13/x
  3. Step 3: Cross multiply
    5,156.51x = 7,734.89 × 1,459.13
  4. Step 4: Simplify right side
    5,156.51x = 11,286,175.02
  5. Step 5: Solve for x
    x = 11,286,175.02/5,156.51
  6. Step 6: Final answer
    x = 2,188.73

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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.