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Finding the Fourth Proportional to 7,139.76, 10,690.32 and 5,051.16

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Solution

The fourth proportional to 7,139.76, 10,690.32 and 5,051.16 is: 7,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.76 : 10,690.32 = 5,051.16 : x
  2. Step 2: Convert to fraction form
    7,139.76/10,690.32 = 5,051.16/x
  3. Step 3: Cross multiply
    7,139.76x = 10,690.32 × 5,051.16
  4. Step 4: Simplify right side
    7,139.76x = 53,998,516.77
  5. Step 5: Solve for x
    x = 53,998,516.77/7,139.76
  6. Step 6: Final answer
    x = 7,563.07

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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.