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Finding the Fourth Proportional to 5,316.63, 7,974.63 and 1,618.77

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Solution

The fourth proportional to 5,316.63, 7,974.63 and 1,618.77 is: 2,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.63 : 7,974.63 = 1,618.77 : x
  2. Step 2: Convert to fraction form
    5,316.63/7,974.63 = 1,618.77/x
  3. Step 3: Cross multiply
    5,316.63x = 7,974.63 × 1,618.77
  4. Step 4: Simplify right side
    5,316.63x = 12,909,091.81
  5. Step 5: Solve for x
    x = 12,909,091.81/5,316.63
  6. Step 6: Final answer
    x = 2,428.06

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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.