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Finding the Fourth Proportional to 5,316.53, 7,974.81 and 1,420.93

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Solution

The fourth proportional to 5,316.53, 7,974.81 and 1,420.93 is: 2,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.53 : 7,974.81 = 1,420.93 : x
  2. Step 2: Convert to fraction form
    5,316.53/7,974.81 = 1,420.93/x
  3. Step 3: Cross multiply
    5,316.53x = 7,974.81 × 1,420.93
  4. Step 4: Simplify right side
    5,316.53x = 11,331,646.77
  5. Step 5: Solve for x
    x = 11,331,646.77/5,316.53
  6. Step 6: Final answer
    x = 2,131.40

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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.