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Finding the Fourth Proportional to 5,314.96, 7,971.88 and 1,419.76

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Solution

The fourth proportional to 5,314.96, 7,971.88 and 1,419.76 is: 2,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.96 : 7,971.88 = 1,419.76 : x
  2. Step 2: Convert to fraction form
    5,314.96/7,971.88 = 1,419.76/x
  3. Step 3: Cross multiply
    5,314.96x = 7,971.88 × 1,419.76
  4. Step 4: Simplify right side
    5,314.96x = 11,318,156.35
  5. Step 5: Solve for x
    x = 11,318,156.35/5,314.96
  6. Step 6: Final answer
    x = 2,129.49

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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.