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Finding the Fourth Proportional to 7,005.93, 10,509 and 3,002.79

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Solution

The fourth proportional to 7,005.93, 10,509 and 3,002.79 is: 4,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.93 : 10,509 = 3,002.79 : x
  2. Step 2: Convert to fraction form
    7,005.93/10,509 = 3,002.79/x
  3. Step 3: Cross multiply
    7,005.93x = 10,509 × 3,002.79
  4. Step 4: Simplify right side
    7,005.93x = 31,556,320.11
  5. Step 5: Solve for x
    x = 31,556,320.11/7,005.93
  6. Step 6: Final answer
    x = 4,504.23

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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.